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Finding the Fourth Proportional to 5,796.34, 7,998.96 and 3,143.74

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Solution

The fourth proportional to 5,796.34, 7,998.96 and 3,143.74 is: 4,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.34 : 7,998.96 = 3,143.74 : x
  2. Step 2: Convert to fraction form
    5,796.34/7,998.96 = 3,143.74/x
  3. Step 3: Cross multiply
    5,796.34x = 7,998.96 × 3,143.74
  4. Step 4: Simplify right side
    5,796.34x = 25,146,650.51
  5. Step 5: Solve for x
    x = 25,146,650.51/5,796.34
  6. Step 6: Final answer
    x = 4,338.37

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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.