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Finding the Fourth Proportional to 5,572.24, 7,684.14 and 3,685.48

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Solution

The fourth proportional to 5,572.24, 7,684.14 and 3,685.48 is: 5,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.24 : 7,684.14 = 3,685.48 : x
  2. Step 2: Convert to fraction form
    5,572.24/7,684.14 = 3,685.48/x
  3. Step 3: Cross multiply
    5,572.24x = 7,684.14 × 3,685.48
  4. Step 4: Simplify right side
    5,572.24x = 28,319,744.29
  5. Step 5: Solve for x
    x = 28,319,744.29/5,572.24
  6. Step 6: Final answer
    x = 5,082.29

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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.