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Finding the Fourth Proportional to 3,257.75, 4,886.92 and 917.78

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Solution

The fourth proportional to 3,257.75, 4,886.92 and 917.78 is: 1,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.75 : 4,886.92 = 917.78 : x
  2. Step 2: Convert to fraction form
    3,257.75/4,886.92 = 917.78/x
  3. Step 3: Cross multiply
    3,257.75x = 4,886.92 × 917.78
  4. Step 4: Simplify right side
    3,257.75x = 4,485,102.93
  5. Step 5: Solve for x
    x = 4,485,102.93/3,257.75
  6. Step 6: Final answer
    x = 1,376.75

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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.