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Finding the Fourth Proportional to 6,408.84, 8,844.66 and 3,755.28

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Solution

The fourth proportional to 6,408.84, 8,844.66 and 3,755.28 is: 5,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.84 : 8,844.66 = 3,755.28 : x
  2. Step 2: Convert to fraction form
    6,408.84/8,844.66 = 3,755.28/x
  3. Step 3: Cross multiply
    6,408.84x = 8,844.66 × 3,755.28
  4. Step 4: Simplify right side
    6,408.84x = 33,214,174.80
  5. Step 5: Solve for x
    x = 33,214,174.80/6,408.84
  6. Step 6: Final answer
    x = 5,182.56

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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.