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Finding the Fourth Proportional to 4,965.38, 6,852.40 and 2,727.46

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Solution

The fourth proportional to 4,965.38, 6,852.40 and 2,727.46 is: 3,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.38 : 6,852.40 = 2,727.46 : x
  2. Step 2: Convert to fraction form
    4,965.38/6,852.40 = 2,727.46/x
  3. Step 3: Cross multiply
    4,965.38x = 6,852.40 × 2,727.46
  4. Step 4: Simplify right side
    4,965.38x = 18,689,648.65
  5. Step 5: Solve for x
    x = 18,689,648.65/4,965.38
  6. Step 6: Final answer
    x = 3,763.99

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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.