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Finding the Fourth Proportional to 5,754.75, 8,632.92 and 2,056.20

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Solution

The fourth proportional to 5,754.75, 8,632.92 and 2,056.20 is: 3,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.75 : 8,632.92 = 2,056.20 : x
  2. Step 2: Convert to fraction form
    5,754.75/8,632.92 = 2,056.20/x
  3. Step 3: Cross multiply
    5,754.75x = 8,632.92 × 2,056.20
  4. Step 4: Simplify right side
    5,754.75x = 17,751,010.10
  5. Step 5: Solve for x
    x = 17,751,010.10/5,754.75
  6. Step 6: Final answer
    x = 3,084.58

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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.