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Finding the Fourth Proportional to 3,310.86, 4,966.07 and 2,388.09

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Solution

The fourth proportional to 3,310.86, 4,966.07 and 2,388.09 is: 3,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.86 : 4,966.07 = 2,388.09 : x
  2. Step 2: Convert to fraction form
    3,310.86/4,966.07 = 2,388.09/x
  3. Step 3: Cross multiply
    3,310.86x = 4,966.07 × 2,388.09
  4. Step 4: Simplify right side
    3,310.86x = 11,859,410.17
  5. Step 5: Solve for x
    x = 11,859,410.17/3,310.86
  6. Step 6: Final answer
    x = 3,581.97

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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.