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Finding the Fourth Proportional to 3,338.64, 5,014.80 and 2,857.20

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Solution

The fourth proportional to 3,338.64, 5,014.80 and 2,857.20 is: 4,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.64 : 5,014.80 = 2,857.20 : x
  2. Step 2: Convert to fraction form
    3,338.64/5,014.80 = 2,857.20/x
  3. Step 3: Cross multiply
    3,338.64x = 5,014.80 × 2,857.20
  4. Step 4: Simplify right side
    3,338.64x = 14,328,286.56
  5. Step 5: Solve for x
    x = 14,328,286.56/3,338.64
  6. Step 6: Final answer
    x = 4,291.65

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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.