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Finding the Fourth Proportional to 5,764.43, 8,638.54 and 3,295.55

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Solution

The fourth proportional to 5,764.43, 8,638.54 and 3,295.55 is: 4,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.43 : 8,638.54 = 3,295.55 : x
  2. Step 2: Convert to fraction form
    5,764.43/8,638.54 = 3,295.55/x
  3. Step 3: Cross multiply
    5,764.43x = 8,638.54 × 3,295.55
  4. Step 4: Simplify right side
    5,764.43x = 28,468,724.02
  5. Step 5: Solve for x
    x = 28,468,724.02/5,764.43
  6. Step 6: Final answer
    x = 4,938.69

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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.