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Finding the Fourth Proportional to 3,489.78, 5,234.67 and 1,024.58

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Solution

The fourth proportional to 3,489.78, 5,234.67 and 1,024.58 is: 1,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.78 : 5,234.67 = 1,024.58 : x
  2. Step 2: Convert to fraction form
    3,489.78/5,234.67 = 1,024.58/x
  3. Step 3: Cross multiply
    3,489.78x = 5,234.67 × 1,024.58
  4. Step 4: Simplify right side
    3,489.78x = 5,363,351.28
  5. Step 5: Solve for x
    x = 5,363,351.28/3,489.78
  6. Step 6: Final answer
    x = 1,536.87

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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.