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Finding the Fourth Proportional to 3,872.74, 5,810.58 and 1,793.74

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Solution

The fourth proportional to 3,872.74, 5,810.58 and 1,793.74 is: 2,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.74 : 5,810.58 = 1,793.74 : x
  2. Step 2: Convert to fraction form
    3,872.74/5,810.58 = 1,793.74/x
  3. Step 3: Cross multiply
    3,872.74x = 5,810.58 × 1,793.74
  4. Step 4: Simplify right side
    3,872.74x = 10,422,669.77
  5. Step 5: Solve for x
    x = 10,422,669.77/3,872.74
  6. Step 6: Final answer
    x = 2,691.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.