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Finding the Fourth Proportional to 3,914.65, 5,402.38 and 2,342.44

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Solution

The fourth proportional to 3,914.65, 5,402.38 and 2,342.44 is: 3,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.65 : 5,402.38 = 2,342.44 : x
  2. Step 2: Convert to fraction form
    3,914.65/5,402.38 = 2,342.44/x
  3. Step 3: Cross multiply
    3,914.65x = 5,402.38 × 2,342.44
  4. Step 4: Simplify right side
    3,914.65x = 12,654,724.00
  5. Step 5: Solve for x
    x = 12,654,724.00/3,914.65
  6. Step 6: Final answer
    x = 3,232.66

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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.