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Finding the Fourth Proportional to 6,057.92, 8,359.28 and 3,540

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Solution

The fourth proportional to 6,057.92, 8,359.28 and 3,540 is: 4,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.92 : 8,359.28 = 3,540 : x
  2. Step 2: Convert to fraction form
    6,057.92/8,359.28 = 3,540/x
  3. Step 3: Cross multiply
    6,057.92x = 8,359.28 × 3,540
  4. Step 4: Simplify right side
    6,057.92x = 29,591,851.20
  5. Step 5: Solve for x
    x = 29,591,851.20/6,057.92
  6. Step 6: Final answer
    x = 4,884.82

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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.