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Finding the Fourth Proportional to 3,869.72, 5,340.69 and 2,191.22

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Solution

The fourth proportional to 3,869.72, 5,340.69 and 2,191.22 is: 3,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.72 : 5,340.69 = 2,191.22 : x
  2. Step 2: Convert to fraction form
    3,869.72/5,340.69 = 2,191.22/x
  3. Step 3: Cross multiply
    3,869.72x = 5,340.69 × 2,191.22
  4. Step 4: Simplify right side
    3,869.72x = 11,702,600.04
  5. Step 5: Solve for x
    x = 11,702,600.04/3,869.72
  6. Step 6: Final answer
    x = 3,024.15

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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.