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Finding the Fourth Proportional to 4,964.38, 6,851.18 and 2,868.50

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Solution

The fourth proportional to 4,964.38, 6,851.18 and 2,868.50 is: 3,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.38 : 6,851.18 = 2,868.50 : x
  2. Step 2: Convert to fraction form
    4,964.38/6,851.18 = 2,868.50/x
  3. Step 3: Cross multiply
    4,964.38x = 6,851.18 × 2,868.50
  4. Step 4: Simplify right side
    4,964.38x = 19,652,609.83
  5. Step 5: Solve for x
    x = 19,652,609.83/4,964.38
  6. Step 6: Final answer
    x = 3,958.72

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Why These Related Problems?

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