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Finding the Fourth Proportional to 4,959.92, 6,845.29 and 2,864.05

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Solution

The fourth proportional to 4,959.92, 6,845.29 and 2,864.05 is: 3,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.92 : 6,845.29 = 2,864.05 : x
  2. Step 2: Convert to fraction form
    4,959.92/6,845.29 = 2,864.05/x
  3. Step 3: Cross multiply
    4,959.92x = 6,845.29 × 2,864.05
  4. Step 4: Simplify right side
    4,959.92x = 19,605,228.55
  5. Step 5: Solve for x
    x = 19,605,228.55/4,959.92
  6. Step 6: Final answer
    x = 3,952.73

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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.