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Finding the Fourth Proportional to 5,764.67, 8,639.86 and 2,800.69

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Solution

The fourth proportional to 5,764.67, 8,639.86 and 2,800.69 is: 4,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.67 : 8,639.86 = 2,800.69 : x
  2. Step 2: Convert to fraction form
    5,764.67/8,639.86 = 2,800.69/x
  3. Step 3: Cross multiply
    5,764.67x = 8,639.86 × 2,800.69
  4. Step 4: Simplify right side
    5,764.67x = 24,197,540.90
  5. Step 5: Solve for x
    x = 24,197,540.90/5,764.67
  6. Step 6: Final answer
    x = 4,197.56

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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.