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Finding the Fourth Proportional to 3,257.54, 4,883.57 and 2,214.62

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Solution

The fourth proportional to 3,257.54, 4,883.57 and 2,214.62 is: 3,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.54 : 4,883.57 = 2,214.62 : x
  2. Step 2: Convert to fraction form
    3,257.54/4,883.57 = 2,214.62/x
  3. Step 3: Cross multiply
    3,257.54x = 4,883.57 × 2,214.62
  4. Step 4: Simplify right side
    3,257.54x = 10,815,240.72
  5. Step 5: Solve for x
    x = 10,815,240.72/3,257.54
  6. Step 6: Final answer
    x = 3,320.06

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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.