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Finding the Fourth Proportional to 5,063.38, 6,987.42 and 2,825.24

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Solution

The fourth proportional to 5,063.38, 6,987.42 and 2,825.24 is: 3,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.38 : 6,987.42 = 2,825.24 : x
  2. Step 2: Convert to fraction form
    5,063.38/6,987.42 = 2,825.24/x
  3. Step 3: Cross multiply
    5,063.38x = 6,987.42 × 2,825.24
  4. Step 4: Simplify right side
    5,063.38x = 19,741,138.48
  5. Step 5: Solve for x
    x = 19,741,138.48/5,063.38
  6. Step 6: Final answer
    x = 3,898.81

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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.