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Finding the Fourth Proportional to 4,813.32, 7,217.52 and 2,214

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Solution

The fourth proportional to 4,813.32, 7,217.52 and 2,214 is: 3,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.32 : 7,217.52 = 2,214 : x
  2. Step 2: Convert to fraction form
    4,813.32/7,217.52 = 2,214/x
  3. Step 3: Cross multiply
    4,813.32x = 7,217.52 × 2,214
  4. Step 4: Simplify right side
    4,813.32x = 15,979,589.28
  5. Step 5: Solve for x
    x = 15,979,589.28/4,813.32
  6. Step 6: Final answer
    x = 3,319.87

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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.