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Finding the Fourth Proportional to 3,705.52, 5,551.96 and 3,238.15

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Solution

The fourth proportional to 3,705.52, 5,551.96 and 3,238.15 is: 4,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.52 : 5,551.96 = 3,238.15 : x
  2. Step 2: Convert to fraction form
    3,705.52/5,551.96 = 3,238.15/x
  3. Step 3: Cross multiply
    3,705.52x = 5,551.96 × 3,238.15
  4. Step 4: Simplify right side
    3,705.52x = 17,978,079.27
  5. Step 5: Solve for x
    x = 17,978,079.27/3,705.52
  6. Step 6: Final answer
    x = 4,851.70

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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.