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Finding the Fourth Proportional to 6,354.78, 8,770.44 and 3,838.32

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Solution

The fourth proportional to 6,354.78, 8,770.44 and 3,838.32 is: 5,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.78 : 8,770.44 = 3,838.32 : x
  2. Step 2: Convert to fraction form
    6,354.78/8,770.44 = 3,838.32/x
  3. Step 3: Cross multiply
    6,354.78x = 8,770.44 × 3,838.32
  4. Step 4: Simplify right side
    6,354.78x = 33,663,755.26
  5. Step 5: Solve for x
    x = 33,663,755.26/6,354.78
  6. Step 6: Final answer
    x = 5,297.39

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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.