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Finding the Fourth Proportional to 5,000.28, 7,496.38 and 2,080.78

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Solution

The fourth proportional to 5,000.28, 7,496.38 and 2,080.78 is: 3,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.28 : 7,496.38 = 2,080.78 : x
  2. Step 2: Convert to fraction form
    5,000.28/7,496.38 = 2,080.78/x
  3. Step 3: Cross multiply
    5,000.28x = 7,496.38 × 2,080.78
  4. Step 4: Simplify right side
    5,000.28x = 15,598,317.58
  5. Step 5: Solve for x
    x = 15,598,317.58/5,000.28
  6. Step 6: Final answer
    x = 3,119.49

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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.