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Finding the Fourth Proportional to 5,404.05, 7,457.13 and 3,414.60

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Solution

The fourth proportional to 5,404.05, 7,457.13 and 3,414.60 is: 4,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.05 : 7,457.13 = 3,414.60 : x
  2. Step 2: Convert to fraction form
    5,404.05/7,457.13 = 3,414.60/x
  3. Step 3: Cross multiply
    5,404.05x = 7,457.13 × 3,414.60
  4. Step 4: Simplify right side
    5,404.05x = 25,463,116.10
  5. Step 5: Solve for x
    x = 25,463,116.10/5,404.05
  6. Step 6: Final answer
    x = 4,711.86

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