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Finding the Fourth Proportional to 5,899.80, 8,847.18 and 2,002.44

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Solution

The fourth proportional to 5,899.80, 8,847.18 and 2,002.44 is: 3,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.80 : 8,847.18 = 2,002.44 : x
  2. Step 2: Convert to fraction form
    5,899.80/8,847.18 = 2,002.44/x
  3. Step 3: Cross multiply
    5,899.80x = 8,847.18 × 2,002.44
  4. Step 4: Simplify right side
    5,899.80x = 17,715,947.12
  5. Step 5: Solve for x
    x = 17,715,947.12/5,899.80
  6. Step 6: Final answer
    x = 3,002.80

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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.