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Finding the Fourth Proportional to 3,912.90, 5,871.69 and 1,449.45

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Solution

The fourth proportional to 3,912.90, 5,871.69 and 1,449.45 is: 2,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.90 : 5,871.69 = 1,449.45 : x
  2. Step 2: Convert to fraction form
    3,912.90/5,871.69 = 1,449.45/x
  3. Step 3: Cross multiply
    3,912.90x = 5,871.69 × 1,449.45
  4. Step 4: Simplify right side
    3,912.90x = 8,510,721.07
  5. Step 5: Solve for x
    x = 8,510,721.07/3,912.90
  6. Step 6: Final answer
    x = 2,175.04

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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.