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Finding the Fourth Proportional to 3,760.65, 5,641.92 and 1,912.77

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Solution

The fourth proportional to 3,760.65, 5,641.92 and 1,912.77 is: 2,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.65 : 5,641.92 = 1,912.77 : x
  2. Step 2: Convert to fraction form
    3,760.65/5,641.92 = 1,912.77/x
  3. Step 3: Cross multiply
    3,760.65x = 5,641.92 × 1,912.77
  4. Step 4: Simplify right side
    3,760.65x = 10,791,695.32
  5. Step 5: Solve for x
    x = 10,791,695.32/3,760.65
  6. Step 6: Final answer
    x = 2,869.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.