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Finding the Fourth Proportional to 3,871.72, 5,340.90 and 2,690.74

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Solution

The fourth proportional to 3,871.72, 5,340.90 and 2,690.74 is: 3,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.72 : 5,340.90 = 2,690.74 : x
  2. Step 2: Convert to fraction form
    3,871.72/5,340.90 = 2,690.74/x
  3. Step 3: Cross multiply
    3,871.72x = 5,340.90 × 2,690.74
  4. Step 4: Simplify right side
    3,871.72x = 14,370,973.27
  5. Step 5: Solve for x
    x = 14,370,973.27/3,871.72
  6. Step 6: Final answer
    x = 3,711.78

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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.