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Finding the Fourth Proportional to 5,432.60, 7,497.02 and 3,194.57

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Solution

The fourth proportional to 5,432.60, 7,497.02 and 3,194.57 is: 4,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.60 : 7,497.02 = 3,194.57 : x
  2. Step 2: Convert to fraction form
    5,432.60/7,497.02 = 3,194.57/x
  3. Step 3: Cross multiply
    5,432.60x = 7,497.02 × 3,194.57
  4. Step 4: Simplify right side
    5,432.60x = 23,949,781.91
  5. Step 5: Solve for x
    x = 23,949,781.91/5,432.60
  6. Step 6: Final answer
    x = 4,408.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.