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Finding the Fourth Proportional to 4,965.66, 6,851.84 and 2,869.38

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Solution

The fourth proportional to 4,965.66, 6,851.84 and 2,869.38 is: 3,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.66 : 6,851.84 = 2,869.38 : x
  2. Step 2: Convert to fraction form
    4,965.66/6,851.84 = 2,869.38/x
  3. Step 3: Cross multiply
    4,965.66x = 6,851.84 × 2,869.38
  4. Step 4: Simplify right side
    4,965.66x = 19,660,505.57
  5. Step 5: Solve for x
    x = 19,660,505.57/4,965.66
  6. Step 6: Final answer
    x = 3,959.30

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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.