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Finding the Fourth Proportional to 4,964.28, 6,850.74 and 2,868.42

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Solution

The fourth proportional to 4,964.28, 6,850.74 and 2,868.42 is: 3,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.28 : 6,850.74 = 2,868.42 : x
  2. Step 2: Convert to fraction form
    4,964.28/6,850.74 = 2,868.42/x
  3. Step 3: Cross multiply
    4,964.28x = 6,850.74 × 2,868.42
  4. Step 4: Simplify right side
    4,964.28x = 19,650,799.63
  5. Step 5: Solve for x
    x = 19,650,799.63/4,964.28
  6. Step 6: Final answer
    x = 3,958.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.