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Finding the Fourth Proportional to 5,766.27, 7,957.88 and 3,248.66

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Solution

The fourth proportional to 5,766.27, 7,957.88 and 3,248.66 is: 4,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.27 : 7,957.88 = 3,248.66 : x
  2. Step 2: Convert to fraction form
    5,766.27/7,957.88 = 3,248.66/x
  3. Step 3: Cross multiply
    5,766.27x = 7,957.88 × 3,248.66
  4. Step 4: Simplify right side
    5,766.27x = 25,852,390.41
  5. Step 5: Solve for x
    x = 25,852,390.41/5,766.27
  6. Step 6: Final answer
    x = 4,483.38

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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.