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Finding the Fourth Proportional to 5,754.40, 8,629.92 and 2,632.64

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Solution

The fourth proportional to 5,754.40, 8,629.92 and 2,632.64 is: 3,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.40 : 8,629.92 = 2,632.64 : x
  2. Step 2: Convert to fraction form
    5,754.40/8,629.92 = 2,632.64/x
  3. Step 3: Cross multiply
    5,754.40x = 8,629.92 × 2,632.64
  4. Step 4: Simplify right side
    5,754.40x = 22,719,472.59
  5. Step 5: Solve for x
    x = 22,719,472.59/5,754.40
  6. Step 6: Final answer
    x = 3,948.19

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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.