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Finding the Fourth Proportional to 6,005.88, 8,286.84 and 3,486.78

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Solution

The fourth proportional to 6,005.88, 8,286.84 and 3,486.78 is: 4,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.88 : 8,286.84 = 3,486.78 : x
  2. Step 2: Convert to fraction form
    6,005.88/8,286.84 = 3,486.78/x
  3. Step 3: Cross multiply
    6,005.88x = 8,286.84 × 3,486.78
  4. Step 4: Simplify right side
    6,005.88x = 28,894,387.98
  5. Step 5: Solve for x
    x = 28,894,387.98/6,005.88
  6. Step 6: Final answer
    x = 4,811.02

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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.