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Finding the Fourth Proportional to 3,512.74, 5,269.08 and 1,432.26

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Solution

The fourth proportional to 3,512.74, 5,269.08 and 1,432.26 is: 2,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.74 : 5,269.08 = 1,432.26 : x
  2. Step 2: Convert to fraction form
    3,512.74/5,269.08 = 1,432.26/x
  3. Step 3: Cross multiply
    3,512.74x = 5,269.08 × 1,432.26
  4. Step 4: Simplify right side
    3,512.74x = 7,546,659.01
  5. Step 5: Solve for x
    x = 7,546,659.01/3,512.74
  6. Step 6: Final answer
    x = 2,148.37

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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.