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Finding the Fourth Proportional to 3,695.38, 5,541 and 1,229.54

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Solution

The fourth proportional to 3,695.38, 5,541 and 1,229.54 is: 1,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.38 : 5,541 = 1,229.54 : x
  2. Step 2: Convert to fraction form
    3,695.38/5,541 = 1,229.54/x
  3. Step 3: Cross multiply
    3,695.38x = 5,541 × 1,229.54
  4. Step 4: Simplify right side
    3,695.38x = 6,812,881.14
  5. Step 5: Solve for x
    x = 6,812,881.14/3,695.38
  6. Step 6: Final answer
    x = 1,843.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.