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Finding the Fourth Proportional to 3,874.77, 5,349.38 and 2,552.31

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Solution

The fourth proportional to 3,874.77, 5,349.38 and 2,552.31 is: 3,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.77 : 5,349.38 = 2,552.31 : x
  2. Step 2: Convert to fraction form
    3,874.77/5,349.38 = 2,552.31/x
  3. Step 3: Cross multiply
    3,874.77x = 5,349.38 × 2,552.31
  4. Step 4: Simplify right side
    3,874.77x = 13,653,263.31
  5. Step 5: Solve for x
    x = 13,653,263.31/3,874.77
  6. Step 6: Final answer
    x = 3,523.63

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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.