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Finding the Fourth Proportional to 3,892.08, 5,371.02 and 2,123.64

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Solution

The fourth proportional to 3,892.08, 5,371.02 and 2,123.64 is: 2,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.08 : 5,371.02 = 2,123.64 : x
  2. Step 2: Convert to fraction form
    3,892.08/5,371.02 = 2,123.64/x
  3. Step 3: Cross multiply
    3,892.08x = 5,371.02 × 2,123.64
  4. Step 4: Simplify right side
    3,892.08x = 11,406,112.91
  5. Step 5: Solve for x
    x = 11,406,112.91/3,892.08
  6. Step 6: Final answer
    x = 2,930.60

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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.