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Finding the Fourth Proportional to 3,788.91, 5,227.88 and 2,296.89

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Solution

The fourth proportional to 3,788.91, 5,227.88 and 2,296.89 is: 3,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.91 : 5,227.88 = 2,296.89 : x
  2. Step 2: Convert to fraction form
    3,788.91/5,227.88 = 2,296.89/x
  3. Step 3: Cross multiply
    3,788.91x = 5,227.88 × 2,296.89
  4. Step 4: Simplify right side
    3,788.91x = 12,007,853.81
  5. Step 5: Solve for x
    x = 12,007,853.81/3,788.91
  6. Step 6: Final answer
    x = 3,169.21

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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.