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Finding the Fourth Proportional to 3,281.22, 4,922.04 and 2,291.04

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Solution

The fourth proportional to 3,281.22, 4,922.04 and 2,291.04 is: 3,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.22 : 4,922.04 = 2,291.04 : x
  2. Step 2: Convert to fraction form
    3,281.22/4,922.04 = 2,291.04/x
  3. Step 3: Cross multiply
    3,281.22x = 4,922.04 × 2,291.04
  4. Step 4: Simplify right side
    3,281.22x = 11,276,590.52
  5. Step 5: Solve for x
    x = 11,276,590.52/3,281.22
  6. Step 6: Final answer
    x = 3,436.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.