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Finding the Fourth Proportional to 3,934.60, 5,429.70 and 2,233.42

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Solution

The fourth proportional to 3,934.60, 5,429.70 and 2,233.42 is: 3,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.60 : 5,429.70 = 2,233.42 : x
  2. Step 2: Convert to fraction form
    3,934.60/5,429.70 = 2,233.42/x
  3. Step 3: Cross multiply
    3,934.60x = 5,429.70 × 2,233.42
  4. Step 4: Simplify right side
    3,934.60x = 12,126,787.00
  5. Step 5: Solve for x
    x = 12,126,787.00/3,934.60
  6. Step 6: Final answer
    x = 3,082.09

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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.