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Finding the Fourth Proportional to 3,142.80, 4,337.56 and 3,040.48

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Solution

The fourth proportional to 3,142.80, 4,337.56 and 3,040.48 is: 4,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.80 : 4,337.56 = 3,040.48 : x
  2. Step 2: Convert to fraction form
    3,142.80/4,337.56 = 3,040.48/x
  3. Step 3: Cross multiply
    3,142.80x = 4,337.56 × 3,040.48
  4. Step 4: Simplify right side
    3,142.80x = 13,188,264.43
  5. Step 5: Solve for x
    x = 13,188,264.43/3,142.80
  6. Step 6: Final answer
    x = 4,196.34

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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.