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Finding the Fourth Proportional to 3,892.04, 5,371.02 and 2,123.78

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Solution

The fourth proportional to 3,892.04, 5,371.02 and 2,123.78 is: 2,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.04 : 5,371.02 = 2,123.78 : x
  2. Step 2: Convert to fraction form
    3,892.04/5,371.02 = 2,123.78/x
  3. Step 3: Cross multiply
    3,892.04x = 5,371.02 × 2,123.78
  4. Step 4: Simplify right side
    3,892.04x = 11,406,864.86
  5. Step 5: Solve for x
    x = 11,406,864.86/3,892.04
  6. Step 6: Final answer
    x = 2,930.82

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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.