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Finding the Fourth Proportional to 5,613.12, 8,422.11 and 2,152.80

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Solution

The fourth proportional to 5,613.12, 8,422.11 and 2,152.80 is: 3,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.12 : 8,422.11 = 2,152.80 : x
  2. Step 2: Convert to fraction form
    5,613.12/8,422.11 = 2,152.80/x
  3. Step 3: Cross multiply
    5,613.12x = 8,422.11 × 2,152.80
  4. Step 4: Simplify right side
    5,613.12x = 18,131,118.41
  5. Step 5: Solve for x
    x = 18,131,118.41/5,613.12
  6. Step 6: Final answer
    x = 3,230.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.