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Finding the Fourth Proportional to 3,824.72, 5,737.12 and 1,744.64

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Solution

The fourth proportional to 3,824.72, 5,737.12 and 1,744.64 is: 2,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.72 : 5,737.12 = 1,744.64 : x
  2. Step 2: Convert to fraction form
    3,824.72/5,737.12 = 1,744.64/x
  3. Step 3: Cross multiply
    3,824.72x = 5,737.12 × 1,744.64
  4. Step 4: Simplify right side
    3,824.72x = 10,009,209.04
  5. Step 5: Solve for x
    x = 10,009,209.04/3,824.72
  6. Step 6: Final answer
    x = 2,616.98

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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.