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Finding the Fourth Proportional to 4,311.57, 5,952.22 and 2,902.66

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Solution

The fourth proportional to 4,311.57, 5,952.22 and 2,902.66 is: 4,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.57 : 5,952.22 = 2,902.66 : x
  2. Step 2: Convert to fraction form
    4,311.57/5,952.22 = 2,902.66/x
  3. Step 3: Cross multiply
    4,311.57x = 5,952.22 × 2,902.66
  4. Step 4: Simplify right side
    4,311.57x = 17,277,270.91
  5. Step 5: Solve for x
    x = 17,277,270.91/4,311.57
  6. Step 6: Final answer
    x = 4,007.19

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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.