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Finding the Fourth Proportional to 4,131.80, 6,197.88 and 2,052.80

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Solution

The fourth proportional to 4,131.80, 6,197.88 and 2,052.80 is: 3,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.80 : 6,197.88 = 2,052.80 : x
  2. Step 2: Convert to fraction form
    4,131.80/6,197.88 = 2,052.80/x
  3. Step 3: Cross multiply
    4,131.80x = 6,197.88 × 2,052.80
  4. Step 4: Simplify right side
    4,131.80x = 12,723,008.06
  5. Step 5: Solve for x
    x = 12,723,008.06/4,131.80
  6. Step 6: Final answer
    x = 3,079.29

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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.