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Finding the Fourth Proportional to 5,451.47, 7,529.16 and 3,680

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Solution

The fourth proportional to 5,451.47, 7,529.16 and 3,680 is: 5,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.47 : 7,529.16 = 3,680 : x
  2. Step 2: Convert to fraction form
    5,451.47/7,529.16 = 3,680/x
  3. Step 3: Cross multiply
    5,451.47x = 7,529.16 × 3,680
  4. Step 4: Simplify right side
    5,451.47x = 27,707,308.80
  5. Step 5: Solve for x
    x = 27,707,308.80/5,451.47
  6. Step 6: Final answer
    x = 5,082.54

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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.