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Finding the Fourth Proportional to 3,744.80, 5,617.20 and 3,232.80

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Solution

The fourth proportional to 3,744.80, 5,617.20 and 3,232.80 is: 4,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.80 : 5,617.20 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    3,744.80/5,617.20 = 3,232.80/x
  3. Step 3: Cross multiply
    3,744.80x = 5,617.20 × 3,232.80
  4. Step 4: Simplify right side
    3,744.80x = 18,159,284.16
  5. Step 5: Solve for x
    x = 18,159,284.16/3,744.80
  6. Step 6: Final answer
    x = 4,849.20

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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.