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Finding the Fourth Proportional to 4,515.52, 6,775.22 and 1,744.14

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Solution

The fourth proportional to 4,515.52, 6,775.22 and 1,744.14 is: 2,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,515.52 : 6,775.22 = 1,744.14 : x
  2. Step 2: Convert to fraction form
    4,515.52/6,775.22 = 1,744.14/x
  3. Step 3: Cross multiply
    4,515.52x = 6,775.22 × 1,744.14
  4. Step 4: Simplify right side
    4,515.52x = 11,816,889.61
  5. Step 5: Solve for x
    x = 11,816,889.61/4,515.52
  6. Step 6: Final answer
    x = 2,616.95

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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.