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Finding the Fourth Proportional to 4,757.59, 7,129.50 and 3,275.29

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Solution

The fourth proportional to 4,757.59, 7,129.50 and 3,275.29 is: 4,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.59 : 7,129.50 = 3,275.29 : x
  2. Step 2: Convert to fraction form
    4,757.59/7,129.50 = 3,275.29/x
  3. Step 3: Cross multiply
    4,757.59x = 7,129.50 × 3,275.29
  4. Step 4: Simplify right side
    4,757.59x = 23,351,180.06
  5. Step 5: Solve for x
    x = 23,351,180.06/4,757.59
  6. Step 6: Final answer
    x = 4,908.20

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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.