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Finding the Fourth Proportional to 3,774.56, 5,657.76 and 1,691.69

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Solution

The fourth proportional to 3,774.56, 5,657.76 and 1,691.69 is: 2,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.56 : 5,657.76 = 1,691.69 : x
  2. Step 2: Convert to fraction form
    3,774.56/5,657.76 = 1,691.69/x
  3. Step 3: Cross multiply
    3,774.56x = 5,657.76 × 1,691.69
  4. Step 4: Simplify right side
    3,774.56x = 9,571,147.73
  5. Step 5: Solve for x
    x = 9,571,147.73/3,774.56
  6. Step 6: Final answer
    x = 2,535.70

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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.