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Finding the Fourth Proportional to 5,446.32, 7,516.71 and 3,959.16

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Solution

The fourth proportional to 5,446.32, 7,516.71 and 3,959.16 is: 5,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.32 : 7,516.71 = 3,959.16 : x
  2. Step 2: Convert to fraction form
    5,446.32/7,516.71 = 3,959.16/x
  3. Step 3: Cross multiply
    5,446.32x = 7,516.71 × 3,959.16
  4. Step 4: Simplify right side
    5,446.32x = 29,759,857.56
  5. Step 5: Solve for x
    x = 29,759,857.56/5,446.32
  6. Step 6: Final answer
    x = 5,464.21

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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.