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Finding the Fourth Proportional to 3,805.14, 5,249.61 and 2,388

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Solution

The fourth proportional to 3,805.14, 5,249.61 and 2,388 is: 3,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.14 : 5,249.61 = 2,388 : x
  2. Step 2: Convert to fraction form
    3,805.14/5,249.61 = 2,388/x
  3. Step 3: Cross multiply
    3,805.14x = 5,249.61 × 2,388
  4. Step 4: Simplify right side
    3,805.14x = 12,536,068.68
  5. Step 5: Solve for x
    x = 12,536,068.68/3,805.14
  6. Step 6: Final answer
    x = 3,294.51

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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.