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Finding the Fourth Proportional to 6,431.90, 8,874.35 and 3,778.79

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Solution

The fourth proportional to 6,431.90, 8,874.35 and 3,778.79 is: 5,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.90 : 8,874.35 = 3,778.79 : x
  2. Step 2: Convert to fraction form
    6,431.90/8,874.35 = 3,778.79/x
  3. Step 3: Cross multiply
    6,431.90x = 8,874.35 × 3,778.79
  4. Step 4: Simplify right side
    6,431.90x = 33,534,260.66
  5. Step 5: Solve for x
    x = 33,534,260.66/6,431.90
  6. Step 6: Final answer
    x = 5,213.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.