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Finding the Fourth Proportional to 3,942.62, 5,445.66 and 2,952.32

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Solution

The fourth proportional to 3,942.62, 5,445.66 and 2,952.32 is: 4,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.62 : 5,445.66 = 2,952.32 : x
  2. Step 2: Convert to fraction form
    3,942.62/5,445.66 = 2,952.32/x
  3. Step 3: Cross multiply
    3,942.62x = 5,445.66 × 2,952.32
  4. Step 4: Simplify right side
    3,942.62x = 16,077,330.93
  5. Step 5: Solve for x
    x = 16,077,330.93/3,942.62
  6. Step 6: Final answer
    x = 4,077.83

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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.