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Finding the Fourth Proportional to 3,226.96, 4,454.85 and 2,283.49

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Solution

The fourth proportional to 3,226.96, 4,454.85 and 2,283.49 is: 3,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.96 : 4,454.85 = 2,283.49 : x
  2. Step 2: Convert to fraction form
    3,226.96/4,454.85 = 2,283.49/x
  3. Step 3: Cross multiply
    3,226.96x = 4,454.85 × 2,283.49
  4. Step 4: Simplify right side
    3,226.96x = 10,172,605.43
  5. Step 5: Solve for x
    x = 10,172,605.43/3,226.96
  6. Step 6: Final answer
    x = 3,152.38

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Why These Related Problems?

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