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Finding the Fourth Proportional to 3,199.40, 4,799.10 and 2,616.20

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Solution

The fourth proportional to 3,199.40, 4,799.10 and 2,616.20 is: 3,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.40 : 4,799.10 = 2,616.20 : x
  2. Step 2: Convert to fraction form
    3,199.40/4,799.10 = 2,616.20/x
  3. Step 3: Cross multiply
    3,199.40x = 4,799.10 × 2,616.20
  4. Step 4: Simplify right side
    3,199.40x = 12,555,405.42
  5. Step 5: Solve for x
    x = 12,555,405.42/3,199.40
  6. Step 6: Final answer
    x = 3,924.30

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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.