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Finding the Fourth Proportional to 3,847.80, 5,767.56 and 1,657.56

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Solution

The fourth proportional to 3,847.80, 5,767.56 and 1,657.56 is: 2,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.80 : 5,767.56 = 1,657.56 : x
  2. Step 2: Convert to fraction form
    3,847.80/5,767.56 = 1,657.56/x
  3. Step 3: Cross multiply
    3,847.80x = 5,767.56 × 1,657.56
  4. Step 4: Simplify right side
    3,847.80x = 9,560,076.75
  5. Step 5: Solve for x
    x = 9,560,076.75/3,847.80
  6. Step 6: Final answer
    x = 2,484.56

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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.