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Finding the Fourth Proportional to 5,458.38, 7,532.56 and 2,974.38

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Solution

The fourth proportional to 5,458.38, 7,532.56 and 2,974.38 is: 4,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.38 : 7,532.56 = 2,974.38 : x
  2. Step 2: Convert to fraction form
    5,458.38/7,532.56 = 2,974.38/x
  3. Step 3: Cross multiply
    5,458.38x = 7,532.56 × 2,974.38
  4. Step 4: Simplify right side
    5,458.38x = 22,404,695.81
  5. Step 5: Solve for x
    x = 22,404,695.81/5,458.38
  6. Step 6: Final answer
    x = 4,104.64

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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.