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Finding the Fourth Proportional to 5,414.92, 7,471.74 and 3,057.01

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Solution

The fourth proportional to 5,414.92, 7,471.74 and 3,057.01 is: 4,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.92 : 7,471.74 = 3,057.01 : x
  2. Step 2: Convert to fraction form
    5,414.92/7,471.74 = 3,057.01/x
  3. Step 3: Cross multiply
    5,414.92x = 7,471.74 × 3,057.01
  4. Step 4: Simplify right side
    5,414.92x = 22,841,176.68
  5. Step 5: Solve for x
    x = 22,841,176.68/5,414.92
  6. Step 6: Final answer
    x = 4,218.19

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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.