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Finding the Fourth Proportional to 5,704.12, 8,552.27 and 2,742.44

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Solution

The fourth proportional to 5,704.12, 8,552.27 and 2,742.44 is: 4,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.12 : 8,552.27 = 2,742.44 : x
  2. Step 2: Convert to fraction form
    5,704.12/8,552.27 = 2,742.44/x
  3. Step 3: Cross multiply
    5,704.12x = 8,552.27 × 2,742.44
  4. Step 4: Simplify right side
    5,704.12x = 23,454,131.76
  5. Step 5: Solve for x
    x = 23,454,131.76/5,704.12
  6. Step 6: Final answer
    x = 4,111.79

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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.