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Finding the Fourth Proportional to 3,728.34, 5,132.22 and 3,223.98

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Solution

The fourth proportional to 3,728.34, 5,132.22 and 3,223.98 is: 4,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.34 : 5,132.22 = 3,223.98 : x
  2. Step 2: Convert to fraction form
    3,728.34/5,132.22 = 3,223.98/x
  3. Step 3: Cross multiply
    3,728.34x = 5,132.22 × 3,223.98
  4. Step 4: Simplify right side
    3,728.34x = 16,546,174.64
  5. Step 5: Solve for x
    x = 16,546,174.64/3,728.34
  6. Step 6: Final answer
    x = 4,437.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.