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Finding the Fourth Proportional to 6,286.30, 8,671.77 and 3,929.80

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Solution

The fourth proportional to 6,286.30, 8,671.77 and 3,929.80 is: 5,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.30 : 8,671.77 = 3,929.80 : x
  2. Step 2: Convert to fraction form
    6,286.30/8,671.77 = 3,929.80/x
  3. Step 3: Cross multiply
    6,286.30x = 8,671.77 × 3,929.80
  4. Step 4: Simplify right side
    6,286.30x = 34,078,321.75
  5. Step 5: Solve for x
    x = 34,078,321.75/6,286.30
  6. Step 6: Final answer
    x = 5,421.05

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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.