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Finding the Fourth Proportional to 5,885.64, 8,824.17 and 2,764.04

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Solution

The fourth proportional to 5,885.64, 8,824.17 and 2,764.04 is: 4,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.64 : 8,824.17 = 2,764.04 : x
  2. Step 2: Convert to fraction form
    5,885.64/8,824.17 = 2,764.04/x
  3. Step 3: Cross multiply
    5,885.64x = 8,824.17 × 2,764.04
  4. Step 4: Simplify right side
    5,885.64x = 24,390,358.85
  5. Step 5: Solve for x
    x = 24,390,358.85/5,885.64
  6. Step 6: Final answer
    x = 4,144.05

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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.