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Finding the Fourth Proportional to 3,686.52, 5,531 and 1,347.24

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Solution

The fourth proportional to 3,686.52, 5,531 and 1,347.24 is: 2,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.52 : 5,531 = 1,347.24 : x
  2. Step 2: Convert to fraction form
    3,686.52/5,531 = 1,347.24/x
  3. Step 3: Cross multiply
    3,686.52x = 5,531 × 1,347.24
  4. Step 4: Simplify right side
    3,686.52x = 7,451,584.44
  5. Step 5: Solve for x
    x = 7,451,584.44/3,686.52
  6. Step 6: Final answer
    x = 2,021.31

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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.