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Finding the Fourth Proportional to 3,934, 5,428.89 and 2,341.74

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Solution

The fourth proportional to 3,934, 5,428.89 and 2,341.74 is: 3,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934 : 5,428.89 = 2,341.74 : x
  2. Step 2: Convert to fraction form
    3,934/5,428.89 = 2,341.74/x
  3. Step 3: Cross multiply
    3,934x = 5,428.89 × 2,341.74
  4. Step 4: Simplify right side
    3,934x = 12,713,048.87
  5. Step 5: Solve for x
    x = 12,713,048.87/3,934
  6. Step 6: Final answer
    x = 3,231.58

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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.