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Finding the Fourth Proportional to 5,766.15, 7,955.92 and 3,247.76

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Solution

The fourth proportional to 5,766.15, 7,955.92 and 3,247.76 is: 4,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.15 : 7,955.92 = 3,247.76 : x
  2. Step 2: Convert to fraction form
    5,766.15/7,955.92 = 3,247.76/x
  3. Step 3: Cross multiply
    5,766.15x = 7,955.92 × 3,247.76
  4. Step 4: Simplify right side
    5,766.15x = 25,838,942.69
  5. Step 5: Solve for x
    x = 25,838,942.69/5,766.15
  6. Step 6: Final answer
    x = 4,481.14

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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.