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Finding the Fourth Proportional to 3,869.65, 5,340.17 and 2,191.02

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Solution

The fourth proportional to 3,869.65, 5,340.17 and 2,191.02 is: 3,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.65 : 5,340.17 = 2,191.02 : x
  2. Step 2: Convert to fraction form
    3,869.65/5,340.17 = 2,191.02/x
  3. Step 3: Cross multiply
    3,869.65x = 5,340.17 × 2,191.02
  4. Step 4: Simplify right side
    3,869.65x = 11,700,402.41
  5. Step 5: Solve for x
    x = 11,700,402.41/3,869.65
  6. Step 6: Final answer
    x = 3,023.64

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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.