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Finding the Fourth Proportional to 5,766.94, 7,957.82 and 3,377.17

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Solution

The fourth proportional to 5,766.94, 7,957.82 and 3,377.17 is: 4,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.94 : 7,957.82 = 3,377.17 : x
  2. Step 2: Convert to fraction form
    5,766.94/7,957.82 = 3,377.17/x
  3. Step 3: Cross multiply
    5,766.94x = 7,957.82 × 3,377.17
  4. Step 4: Simplify right side
    5,766.94x = 26,874,854.29
  5. Step 5: Solve for x
    x = 26,874,854.29/5,766.94
  6. Step 6: Final answer
    x = 4,660.16

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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.