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Finding the Fourth Proportional to 3,770.75, 5,658.71 and 1,693.08

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Solution

The fourth proportional to 3,770.75, 5,658.71 and 1,693.08 is: 2,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.75 : 5,658.71 = 1,693.08 : x
  2. Step 2: Convert to fraction form
    3,770.75/5,658.71 = 1,693.08/x
  3. Step 3: Cross multiply
    3,770.75x = 5,658.71 × 1,693.08
  4. Step 4: Simplify right side
    3,770.75x = 9,580,648.73
  5. Step 5: Solve for x
    x = 9,580,648.73/3,770.75
  6. Step 6: Final answer
    x = 2,540.78

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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.