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Finding the Fourth Proportional to 3,934.72, 5,900.19 and 2,291.73

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Solution

The fourth proportional to 3,934.72, 5,900.19 and 2,291.73 is: 3,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.72 : 5,900.19 = 2,291.73 : x
  2. Step 2: Convert to fraction form
    3,934.72/5,900.19 = 2,291.73/x
  3. Step 3: Cross multiply
    3,934.72x = 5,900.19 × 2,291.73
  4. Step 4: Simplify right side
    3,934.72x = 13,521,642.43
  5. Step 5: Solve for x
    x = 13,521,642.43/3,934.72
  6. Step 6: Final answer
    x = 3,436.50

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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.