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Finding the Fourth Proportional to 3,646.31, 5,469.54 and 1,306.47

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Solution

The fourth proportional to 3,646.31, 5,469.54 and 1,306.47 is: 1,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.31 : 5,469.54 = 1,306.47 : x
  2. Step 2: Convert to fraction form
    3,646.31/5,469.54 = 1,306.47/x
  3. Step 3: Cross multiply
    3,646.31x = 5,469.54 × 1,306.47
  4. Step 4: Simplify right side
    3,646.31x = 7,145,789.92
  5. Step 5: Solve for x
    x = 7,145,789.92/3,646.31
  6. Step 6: Final answer
    x = 1,959.73

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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.