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Finding the Fourth Proportional to 5,365.76, 8,049.92 and 2,288

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Solution

The fourth proportional to 5,365.76, 8,049.92 and 2,288 is: 3,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.76 : 8,049.92 = 2,288 : x
  2. Step 2: Convert to fraction form
    5,365.76/8,049.92 = 2,288/x
  3. Step 3: Cross multiply
    5,365.76x = 8,049.92 × 2,288
  4. Step 4: Simplify right side
    5,365.76x = 18,418,216.96
  5. Step 5: Solve for x
    x = 18,418,216.96/5,365.76
  6. Step 6: Final answer
    x = 3,432.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.