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Finding the Fourth Proportional to 3,869.74, 5,340.20 and 2,191.12

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Solution

The fourth proportional to 3,869.74, 5,340.20 and 2,191.12 is: 3,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.74 : 5,340.20 = 2,191.12 : x
  2. Step 2: Convert to fraction form
    3,869.74/5,340.20 = 2,191.12/x
  3. Step 3: Cross multiply
    3,869.74x = 5,340.20 × 2,191.12
  4. Step 4: Simplify right side
    3,869.74x = 11,700,994.72
  5. Step 5: Solve for x
    x = 11,700,994.72/3,869.74
  6. Step 6: Final answer
    x = 3,023.72

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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.