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Finding the Fourth Proportional to 5,103.47, 7,042.78 and 2,865.39

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Solution

The fourth proportional to 5,103.47, 7,042.78 and 2,865.39 is: 3,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.47 : 7,042.78 = 2,865.39 : x
  2. Step 2: Convert to fraction form
    5,103.47/7,042.78 = 2,865.39/x
  3. Step 3: Cross multiply
    5,103.47x = 7,042.78 × 2,865.39
  4. Step 4: Simplify right side
    5,103.47x = 20,180,311.38
  5. Step 5: Solve for x
    x = 20,180,311.38/5,103.47
  6. Step 6: Final answer
    x = 3,954.23

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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.