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Finding the Fourth Proportional to 3,622.52, 5,432.52 and 1,024.76

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Solution

The fourth proportional to 3,622.52, 5,432.52 and 1,024.76 is: 1,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.52 : 5,432.52 = 1,024.76 : x
  2. Step 2: Convert to fraction form
    3,622.52/5,432.52 = 1,024.76/x
  3. Step 3: Cross multiply
    3,622.52x = 5,432.52 × 1,024.76
  4. Step 4: Simplify right side
    3,622.52x = 5,567,029.20
  5. Step 5: Solve for x
    x = 5,567,029.20/3,622.52
  6. Step 6: Final answer
    x = 1,536.78

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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.