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Finding the Fourth Proportional to 3,793.83, 5,690.55 and 1,453.66

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Solution

The fourth proportional to 3,793.83, 5,690.55 and 1,453.66 is: 2,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.83 : 5,690.55 = 1,453.66 : x
  2. Step 2: Convert to fraction form
    3,793.83/5,690.55 = 1,453.66/x
  3. Step 3: Cross multiply
    3,793.83x = 5,690.55 × 1,453.66
  4. Step 4: Simplify right side
    3,793.83x = 8,272,124.91
  5. Step 5: Solve for x
    x = 8,272,124.91/3,793.83
  6. Step 6: Final answer
    x = 2,180.42

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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.