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Finding the Fourth Proportional to 3,937.49, 5,902.18 and 1,747.25

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Solution

The fourth proportional to 3,937.49, 5,902.18 and 1,747.25 is: 2,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.49 : 5,902.18 = 1,747.25 : x
  2. Step 2: Convert to fraction form
    3,937.49/5,902.18 = 1,747.25/x
  3. Step 3: Cross multiply
    3,937.49x = 5,902.18 × 1,747.25
  4. Step 4: Simplify right side
    3,937.49x = 10,312,584.01
  5. Step 5: Solve for x
    x = 10,312,584.01/3,937.49
  6. Step 6: Final answer
    x = 2,619.08

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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.