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Finding the Fourth Proportional to 5,865.89, 8,781.82 and 4,563.41

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Solution

The fourth proportional to 5,865.89, 8,781.82 and 4,563.41 is: 6,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.89 : 8,781.82 = 4,563.41 : x
  2. Step 2: Convert to fraction form
    5,865.89/8,781.82 = 4,563.41/x
  3. Step 3: Cross multiply
    5,865.89x = 8,781.82 × 4,563.41
  4. Step 4: Simplify right side
    5,865.89x = 40,074,989.89
  5. Step 5: Solve for x
    x = 40,074,989.89/5,865.89
  6. Step 6: Final answer
    x = 6,831.87

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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.