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Finding the Fourth Proportional to 3,937.80, 5,901.90 and 1,744.20

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Solution

The fourth proportional to 3,937.80, 5,901.90 and 1,744.20 is: 2,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.80 : 5,901.90 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    3,937.80/5,901.90 = 1,744.20/x
  3. Step 3: Cross multiply
    3,937.80x = 5,901.90 × 1,744.20
  4. Step 4: Simplify right side
    3,937.80x = 10,294,093.98
  5. Step 5: Solve for x
    x = 10,294,093.98/3,937.80
  6. Step 6: Final answer
    x = 2,614.17

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1.5x scale

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.