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Finding the Fourth Proportional to 5,169.60, 7,132.80 and 3,494.40

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Solution

The fourth proportional to 5,169.60, 7,132.80 and 3,494.40 is: 4,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.60 : 7,132.80 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    5,169.60/7,132.80 = 3,494.40/x
  3. Step 3: Cross multiply
    5,169.60x = 7,132.80 × 3,494.40
  4. Step 4: Simplify right side
    5,169.60x = 24,924,856.32
  5. Step 5: Solve for x
    x = 24,924,856.32/5,169.60
  6. Step 6: Final answer
    x = 4,821.43

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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.