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Finding the Fourth Proportional to 5,882.64, 8,823.76 and 2,760.90

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Solution

The fourth proportional to 5,882.64, 8,823.76 and 2,760.90 is: 4,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.64 : 8,823.76 = 2,760.90 : x
  2. Step 2: Convert to fraction form
    5,882.64/8,823.76 = 2,760.90/x
  3. Step 3: Cross multiply
    5,882.64x = 8,823.76 × 2,760.90
  4. Step 4: Simplify right side
    5,882.64x = 24,361,536.39
  5. Step 5: Solve for x
    x = 24,361,536.39/5,882.64
  6. Step 6: Final answer
    x = 4,141.26

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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.