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Finding the Fourth Proportional to 3,489.72, 5,235.57 and 1,024.49

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Solution

The fourth proportional to 3,489.72, 5,235.57 and 1,024.49 is: 1,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.72 : 5,235.57 = 1,024.49 : x
  2. Step 2: Convert to fraction form
    3,489.72/5,235.57 = 1,024.49/x
  3. Step 3: Cross multiply
    3,489.72x = 5,235.57 × 1,024.49
  4. Step 4: Simplify right side
    3,489.72x = 5,363,789.11
  5. Step 5: Solve for x
    x = 5,363,789.11/3,489.72
  6. Step 6: Final answer
    x = 1,537.03

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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.