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Finding the Fourth Proportional to 7,304.74, 10,080.54 and 3,947.55

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Solution

The fourth proportional to 7,304.74, 10,080.54 and 3,947.55 is: 5,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.74 : 10,080.54 = 3,947.55 : x
  2. Step 2: Convert to fraction form
    7,304.74/10,080.54 = 3,947.55/x
  3. Step 3: Cross multiply
    7,304.74x = 10,080.54 × 3,947.55
  4. Step 4: Simplify right side
    7,304.74x = 39,793,449.38
  5. Step 5: Solve for x
    x = 39,793,449.38/7,304.74
  6. Step 6: Final answer
    x = 5,447.62

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Why These Related Problems?

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