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Finding the Fourth Proportional to 4,194.40, 6,286.20 and 2,549.20

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Solution

The fourth proportional to 4,194.40, 6,286.20 and 2,549.20 is: 3,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.40 : 6,286.20 = 2,549.20 : x
  2. Step 2: Convert to fraction form
    4,194.40/6,286.20 = 2,549.20/x
  3. Step 3: Cross multiply
    4,194.40x = 6,286.20 × 2,549.20
  4. Step 4: Simplify right side
    4,194.40x = 16,024,781.04
  5. Step 5: Solve for x
    x = 16,024,781.04/4,194.40
  6. Step 6: Final answer
    x = 3,820.52

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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.