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Finding the Fourth Proportional to 6,429.78, 8,874.66 and 3,778.95

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Solution

The fourth proportional to 6,429.78, 8,874.66 and 3,778.95 is: 5,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.78 : 8,874.66 = 3,778.95 : x
  2. Step 2: Convert to fraction form
    6,429.78/8,874.66 = 3,778.95/x
  3. Step 3: Cross multiply
    6,429.78x = 8,874.66 × 3,778.95
  4. Step 4: Simplify right side
    6,429.78x = 33,536,943.86
  5. Step 5: Solve for x
    x = 33,536,943.86/6,429.78
  6. Step 6: Final answer
    x = 5,215.88

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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.