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Finding the Fourth Proportional to 3,870.60, 5,340.12 and 2,191.82

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Solution

The fourth proportional to 3,870.60, 5,340.12 and 2,191.82 is: 3,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.60 : 5,340.12 = 2,191.82 : x
  2. Step 2: Convert to fraction form
    3,870.60/5,340.12 = 2,191.82/x
  3. Step 3: Cross multiply
    3,870.60x = 5,340.12 × 2,191.82
  4. Step 4: Simplify right side
    3,870.60x = 11,704,581.82
  5. Step 5: Solve for x
    x = 11,704,581.82/3,870.60
  6. Step 6: Final answer
    x = 3,023.97

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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.