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Finding the Fourth Proportional to 3,834.42, 5,290.88 and 2,155.61

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Solution

The fourth proportional to 3,834.42, 5,290.88 and 2,155.61 is: 2,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.42 : 5,290.88 = 2,155.61 : x
  2. Step 2: Convert to fraction form
    3,834.42/5,290.88 = 2,155.61/x
  3. Step 3: Cross multiply
    3,834.42x = 5,290.88 × 2,155.61
  4. Step 4: Simplify right side
    3,834.42x = 11,405,036.60
  5. Step 5: Solve for x
    x = 11,405,036.60/3,834.42
  6. Step 6: Final answer
    x = 2,974.38

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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.