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Finding the Fourth Proportional to 5,847.43, 8,765.02 and 2,724.86

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Solution

The fourth proportional to 5,847.43, 8,765.02 and 2,724.86 is: 4,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.43 : 8,765.02 = 2,724.86 : x
  2. Step 2: Convert to fraction form
    5,847.43/8,765.02 = 2,724.86/x
  3. Step 3: Cross multiply
    5,847.43x = 8,765.02 × 2,724.86
  4. Step 4: Simplify right side
    5,847.43x = 23,883,445.59
  5. Step 5: Solve for x
    x = 23,883,445.59/5,847.43
  6. Step 6: Final answer
    x = 4,084.44

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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.