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Finding the Fourth Proportional to 3,870.57, 5,340.99 and 2,191.92

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Solution

The fourth proportional to 3,870.57, 5,340.99 and 2,191.92 is: 3,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.57 : 5,340.99 = 2,191.92 : x
  2. Step 2: Convert to fraction form
    3,870.57/5,340.99 = 2,191.92/x
  3. Step 3: Cross multiply
    3,870.57x = 5,340.99 × 2,191.92
  4. Step 4: Simplify right side
    3,870.57x = 11,707,022.80
  5. Step 5: Solve for x
    x = 11,707,022.80/3,870.57
  6. Step 6: Final answer
    x = 3,024.63

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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.