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Finding the Fourth Proportional to 6,781.60, 10,168.89 and 2,398.42

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Solution

The fourth proportional to 6,781.60, 10,168.89 and 2,398.42 is: 3,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.60 : 10,168.89 = 2,398.42 : x
  2. Step 2: Convert to fraction form
    6,781.60/10,168.89 = 2,398.42/x
  3. Step 3: Cross multiply
    6,781.60x = 10,168.89 × 2,398.42
  4. Step 4: Simplify right side
    6,781.60x = 24,389,269.15
  5. Step 5: Solve for x
    x = 24,389,269.15/6,781.60
  6. Step 6: Final answer
    x = 3,596.39

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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.