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Finding the Fourth Proportional to 5,170.32, 7,754.84 and 1,660.05

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Solution

The fourth proportional to 5,170.32, 7,754.84 and 1,660.05 is: 2,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.32 : 7,754.84 = 1,660.05 : x
  2. Step 2: Convert to fraction form
    5,170.32/7,754.84 = 1,660.05/x
  3. Step 3: Cross multiply
    5,170.32x = 7,754.84 × 1,660.05
  4. Step 4: Simplify right side
    5,170.32x = 12,873,413.84
  5. Step 5: Solve for x
    x = 12,873,413.84/5,170.32
  6. Step 6: Final answer
    x = 2,489.87

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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.