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Finding the Fourth Proportional to 3,738.96, 5,154.23 and 2,394.42

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Solution

The fourth proportional to 3,738.96, 5,154.23 and 2,394.42 is: 3,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.96 : 5,154.23 = 2,394.42 : x
  2. Step 2: Convert to fraction form
    3,738.96/5,154.23 = 2,394.42/x
  3. Step 3: Cross multiply
    3,738.96x = 5,154.23 × 2,394.42
  4. Step 4: Simplify right side
    3,738.96x = 12,341,391.40
  5. Step 5: Solve for x
    x = 12,341,391.40/3,738.96
  6. Step 6: Final answer
    x = 3,300.76

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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.