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Finding the Fourth Proportional to 4,957.92, 6,842.52 and 2,862

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Solution

The fourth proportional to 4,957.92, 6,842.52 and 2,862 is: 3,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.92 : 6,842.52 = 2,862 : x
  2. Step 2: Convert to fraction form
    4,957.92/6,842.52 = 2,862/x
  3. Step 3: Cross multiply
    4,957.92x = 6,842.52 × 2,862
  4. Step 4: Simplify right side
    4,957.92x = 19,583,292.24
  5. Step 5: Solve for x
    x = 19,583,292.24/4,957.92
  6. Step 6: Final answer
    x = 3,949.90

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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.