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Finding the Fourth Proportional to 5,744.88, 8,618.16 and 1,850.16

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Solution

The fourth proportional to 5,744.88, 8,618.16 and 1,850.16 is: 2,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.88 : 8,618.16 = 1,850.16 : x
  2. Step 2: Convert to fraction form
    5,744.88/8,618.16 = 1,850.16/x
  3. Step 3: Cross multiply
    5,744.88x = 8,618.16 × 1,850.16
  4. Step 4: Simplify right side
    5,744.88x = 15,944,974.91
  5. Step 5: Solve for x
    x = 15,944,974.91/5,744.88
  6. Step 6: Final answer
    x = 2,775.51

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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.