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Finding the Fourth Proportional to 3,398.39, 5,097 and 932.63

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Solution

The fourth proportional to 3,398.39, 5,097 and 932.63 is: 1,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.39 : 5,097 = 932.63 : x
  2. Step 2: Convert to fraction form
    3,398.39/5,097 = 932.63/x
  3. Step 3: Cross multiply
    3,398.39x = 5,097 × 932.63
  4. Step 4: Simplify right side
    3,398.39x = 4,753,589.63
  5. Step 5: Solve for x
    x = 4,753,589.63/3,398.39
  6. Step 6: Final answer
    x = 1,398.78

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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.