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Finding the Fourth Proportional to 3,898.92, 5,380.38 and 2,326.20

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Solution

The fourth proportional to 3,898.92, 5,380.38 and 2,326.20 is: 3,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.92 : 5,380.38 = 2,326.20 : x
  2. Step 2: Convert to fraction form
    3,898.92/5,380.38 = 2,326.20/x
  3. Step 3: Cross multiply
    3,898.92x = 5,380.38 × 2,326.20
  4. Step 4: Simplify right side
    3,898.92x = 12,515,839.96
  5. Step 5: Solve for x
    x = 12,515,839.96/3,898.92
  6. Step 6: Final answer
    x = 3,210.08

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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.