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Finding the Fourth Proportional to 3,767.58, 5,644.08 and 1,821.15

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Solution

The fourth proportional to 3,767.58, 5,644.08 and 1,821.15 is: 2,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.58 : 5,644.08 = 1,821.15 : x
  2. Step 2: Convert to fraction form
    3,767.58/5,644.08 = 1,821.15/x
  3. Step 3: Cross multiply
    3,767.58x = 5,644.08 × 1,821.15
  4. Step 4: Simplify right side
    3,767.58x = 10,278,716.29
  5. Step 5: Solve for x
    x = 10,278,716.29/3,767.58
  6. Step 6: Final answer
    x = 2,728.20

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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.