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Finding the Fourth Proportional to 4,363.52, 6,538.92 and 2,024.24

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Solution

The fourth proportional to 4,363.52, 6,538.92 and 2,024.24 is: 3,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.52 : 6,538.92 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    4,363.52/6,538.92 = 2,024.24/x
  3. Step 3: Cross multiply
    4,363.52x = 6,538.92 × 2,024.24
  4. Step 4: Simplify right side
    4,363.52x = 13,236,343.42
  5. Step 5: Solve for x
    x = 13,236,343.42/4,363.52
  6. Step 6: Final answer
    x = 3,033.41

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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.