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Finding the Fourth Proportional to 3,912.50, 5,871.01 and 1,449.02

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Solution

The fourth proportional to 3,912.50, 5,871.01 and 1,449.02 is: 2,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.50 : 5,871.01 = 1,449.02 : x
  2. Step 2: Convert to fraction form
    3,912.50/5,871.01 = 1,449.02/x
  3. Step 3: Cross multiply
    3,912.50x = 5,871.01 × 1,449.02
  4. Step 4: Simplify right side
    3,912.50x = 8,507,210.91
  5. Step 5: Solve for x
    x = 8,507,210.91/3,912.50
  6. Step 6: Final answer
    x = 2,174.37

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Why These Related Problems?

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