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Finding the Fourth Proportional to 3,869.67, 5,340.17 and 2,101.27

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Solution

The fourth proportional to 3,869.67, 5,340.17 and 2,101.27 is: 2,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.67 : 5,340.17 = 2,101.27 : x
  2. Step 2: Convert to fraction form
    3,869.67/5,340.17 = 2,101.27/x
  3. Step 3: Cross multiply
    3,869.67x = 5,340.17 × 2,101.27
  4. Step 4: Simplify right side
    3,869.67x = 11,221,139.02
  5. Step 5: Solve for x
    x = 11,221,139.02/3,869.67
  6. Step 6: Final answer
    x = 2,899.77

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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.