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Finding the Fourth Proportional to 3,194.57, 4,398.98 and 3,121.79

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Solution

The fourth proportional to 3,194.57, 4,398.98 and 3,121.79 is: 4,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.57 : 4,398.98 = 3,121.79 : x
  2. Step 2: Convert to fraction form
    3,194.57/4,398.98 = 3,121.79/x
  3. Step 3: Cross multiply
    3,194.57x = 4,398.98 × 3,121.79
  4. Step 4: Simplify right side
    3,194.57x = 13,732,654.17
  5. Step 5: Solve for x
    x = 13,732,654.17/3,194.57
  6. Step 6: Final answer
    x = 4,298.76

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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.