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Finding the Fourth Proportional to 3,954.50, 5,923.55 and 2,306.05

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Solution

The fourth proportional to 3,954.50, 5,923.55 and 2,306.05 is: 3,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.50 : 5,923.55 = 2,306.05 : x
  2. Step 2: Convert to fraction form
    3,954.50/5,923.55 = 2,306.05/x
  3. Step 3: Cross multiply
    3,954.50x = 5,923.55 × 2,306.05
  4. Step 4: Simplify right side
    3,954.50x = 13,660,002.48
  5. Step 5: Solve for x
    x = 13,660,002.48/3,954.50
  6. Step 6: Final answer
    x = 3,454.29

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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.