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Finding the Fourth Proportional to 3,892.05, 5,371.02 and 2,123.67

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Solution

The fourth proportional to 3,892.05, 5,371.02 and 2,123.67 is: 2,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.05 : 5,371.02 = 2,123.67 : x
  2. Step 2: Convert to fraction form
    3,892.05/5,371.02 = 2,123.67/x
  3. Step 3: Cross multiply
    3,892.05x = 5,371.02 × 2,123.67
  4. Step 4: Simplify right side
    3,892.05x = 11,406,274.04
  5. Step 5: Solve for x
    x = 11,406,274.04/3,892.05
  6. Step 6: Final answer
    x = 2,930.66

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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.