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Finding the Fourth Proportional to 5,080, 7,604.02 and 3,233.20

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Solution

The fourth proportional to 5,080, 7,604.02 and 3,233.20 is: 4,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080 : 7,604.02 = 3,233.20 : x
  2. Step 2: Convert to fraction form
    5,080/7,604.02 = 3,233.20/x
  3. Step 3: Cross multiply
    5,080x = 7,604.02 × 3,233.20
  4. Step 4: Simplify right side
    5,080x = 24,585,317.46
  5. Step 5: Solve for x
    x = 24,585,317.46/5,080
  6. Step 6: Final answer
    x = 4,839.63

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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.