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Finding the Fourth Proportional to 5,891.76, 8,131.08 and 3,408.24

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Solution

The fourth proportional to 5,891.76, 8,131.08 and 3,408.24 is: 4,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.76 : 8,131.08 = 3,408.24 : x
  2. Step 2: Convert to fraction form
    5,891.76/8,131.08 = 3,408.24/x
  3. Step 3: Cross multiply
    5,891.76x = 8,131.08 × 3,408.24
  4. Step 4: Simplify right side
    5,891.76x = 27,712,672.10
  5. Step 5: Solve for x
    x = 27,712,672.10/5,891.76
  6. Step 6: Final answer
    x = 4,703.63

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Half scale
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Double scale
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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.