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Finding the Fourth Proportional to 5,294.57, 7,304.99 and 3,699.41

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Solution

The fourth proportional to 5,294.57, 7,304.99 and 3,699.41 is: 5,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.57 : 7,304.99 = 3,699.41 : x
  2. Step 2: Convert to fraction form
    5,294.57/7,304.99 = 3,699.41/x
  3. Step 3: Cross multiply
    5,294.57x = 7,304.99 × 3,699.41
  4. Step 4: Simplify right side
    5,294.57x = 27,024,098.03
  5. Step 5: Solve for x
    x = 27,024,098.03/5,294.57
  6. Step 6: Final answer
    x = 5,104.12

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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.