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Finding the Fourth Proportional to 5,882.67, 8,824.01 and 2,504.59

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Solution

The fourth proportional to 5,882.67, 8,824.01 and 2,504.59 is: 3,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.67 : 8,824.01 = 2,504.59 : x
  2. Step 2: Convert to fraction form
    5,882.67/8,824.01 = 2,504.59/x
  3. Step 3: Cross multiply
    5,882.67x = 8,824.01 × 2,504.59
  4. Step 4: Simplify right side
    5,882.67x = 22,100,483.09
  5. Step 5: Solve for x
    x = 22,100,483.09/5,882.67
  6. Step 6: Final answer
    x = 3,756.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.