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Finding the Fourth Proportional to 3,744.75, 5,167.76 and 2,088.75

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Solution

The fourth proportional to 3,744.75, 5,167.76 and 2,088.75 is: 2,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.75 : 5,167.76 = 2,088.75 : x
  2. Step 2: Convert to fraction form
    3,744.75/5,167.76 = 2,088.75/x
  3. Step 3: Cross multiply
    3,744.75x = 5,167.76 × 2,088.75
  4. Step 4: Simplify right side
    3,744.75x = 10,794,148.26
  5. Step 5: Solve for x
    x = 10,794,148.26/3,744.75
  6. Step 6: Final answer
    x = 2,882.48

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1.5x scale

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.