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Finding the Fourth Proportional to 4,223.52, 6,332.88 and 3,534.48

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Solution

The fourth proportional to 4,223.52, 6,332.88 and 3,534.48 is: 5,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.52 : 6,332.88 = 3,534.48 : x
  2. Step 2: Convert to fraction form
    4,223.52/6,332.88 = 3,534.48/x
  3. Step 3: Cross multiply
    4,223.52x = 6,332.88 × 3,534.48
  4. Step 4: Simplify right side
    4,223.52x = 22,383,437.70
  5. Step 5: Solve for x
    x = 22,383,437.70/4,223.52
  6. Step 6: Final answer
    x = 5,299.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.