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Finding the Fourth Proportional to 3,229.10, 4,843.65 and 2,828.15

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Solution

The fourth proportional to 3,229.10, 4,843.65 and 2,828.15 is: 4,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.10 : 4,843.65 = 2,828.15 : x
  2. Step 2: Convert to fraction form
    3,229.10/4,843.65 = 2,828.15/x
  3. Step 3: Cross multiply
    3,229.10x = 4,843.65 × 2,828.15
  4. Step 4: Simplify right side
    3,229.10x = 13,698,568.75
  5. Step 5: Solve for x
    x = 13,698,568.75/3,229.10
  6. Step 6: Final answer
    x = 4,242.23

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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.