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Finding the Fourth Proportional to 5,712.83, 7,883.83 and 4,037.19

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Solution

The fourth proportional to 5,712.83, 7,883.83 and 4,037.19 is: 5,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.83 : 7,883.83 = 4,037.19 : x
  2. Step 2: Convert to fraction form
    5,712.83/7,883.83 = 4,037.19/x
  3. Step 3: Cross multiply
    5,712.83x = 7,883.83 × 4,037.19
  4. Step 4: Simplify right side
    5,712.83x = 31,828,539.47
  5. Step 5: Solve for x
    x = 31,828,539.47/5,712.83
  6. Step 6: Final answer
    x = 5,571.41

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Half scale
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Double scale
Find fourth proportional to 5,713.83, 7,885.21 and 4,038.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.