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Finding the Fourth Proportional to 3,878.72, 5,352.66 and 2,285.44

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Solution

The fourth proportional to 3,878.72, 5,352.66 and 2,285.44 is: 3,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.72 : 5,352.66 = 2,285.44 : x
  2. Step 2: Convert to fraction form
    3,878.72/5,352.66 = 2,285.44/x
  3. Step 3: Cross multiply
    3,878.72x = 5,352.66 × 2,285.44
  4. Step 4: Simplify right side
    3,878.72x = 12,233,183.27
  5. Step 5: Solve for x
    x = 12,233,183.27/3,878.72
  6. Step 6: Final answer
    x = 3,153.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.