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Finding the Fourth Proportional to 4,147.52, 6,221.20 and 1,027.53

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Solution

The fourth proportional to 4,147.52, 6,221.20 and 1,027.53 is: 1,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.52 : 6,221.20 = 1,027.53 : x
  2. Step 2: Convert to fraction form
    4,147.52/6,221.20 = 1,027.53/x
  3. Step 3: Cross multiply
    4,147.52x = 6,221.20 × 1,027.53
  4. Step 4: Simplify right side
    4,147.52x = 6,392,463.90
  5. Step 5: Solve for x
    x = 6,392,463.90/4,147.52
  6. Step 6: Final answer
    x = 1,541.28

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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.