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Finding the Fourth Proportional to 3,512.74, 5,269.13 and 1,432.18

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Solution

The fourth proportional to 3,512.74, 5,269.13 and 1,432.18 is: 2,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.74 : 5,269.13 = 1,432.18 : x
  2. Step 2: Convert to fraction form
    3,512.74/5,269.13 = 1,432.18/x
  3. Step 3: Cross multiply
    3,512.74x = 5,269.13 × 1,432.18
  4. Step 4: Simplify right side
    3,512.74x = 7,546,333.01
  5. Step 5: Solve for x
    x = 7,546,333.01/3,512.74
  6. Step 6: Final answer
    x = 2,148.28

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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.