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Finding the Fourth Proportional to 4,865.65, 6,713.38 and 2,740.75

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Solution

The fourth proportional to 4,865.65, 6,713.38 and 2,740.75 is: 3,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.65 : 6,713.38 = 2,740.75 : x
  2. Step 2: Convert to fraction form
    4,865.65/6,713.38 = 2,740.75/x
  3. Step 3: Cross multiply
    4,865.65x = 6,713.38 × 2,740.75
  4. Step 4: Simplify right side
    4,865.65x = 18,399,696.24
  5. Step 5: Solve for x
    x = 18,399,696.24/4,865.65
  6. Step 6: Final answer
    x = 3,781.55

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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.