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Finding the Fourth Proportional to 3,882.68, 5,364.38 and 2,708.99

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Solution

The fourth proportional to 3,882.68, 5,364.38 and 2,708.99 is: 3,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.68 : 5,364.38 = 2,708.99 : x
  2. Step 2: Convert to fraction form
    3,882.68/5,364.38 = 2,708.99/x
  3. Step 3: Cross multiply
    3,882.68x = 5,364.38 × 2,708.99
  4. Step 4: Simplify right side
    3,882.68x = 14,532,051.78
  5. Step 5: Solve for x
    x = 14,532,051.78/3,882.68
  6. Step 6: Final answer
    x = 3,742.79

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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.