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Finding the Fourth Proportional to 6,286.88, 8,676.56 and 3,492.64

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Solution

The fourth proportional to 6,286.88, 8,676.56 and 3,492.64 is: 4,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.88 : 8,676.56 = 3,492.64 : x
  2. Step 2: Convert to fraction form
    6,286.88/8,676.56 = 3,492.64/x
  3. Step 3: Cross multiply
    6,286.88x = 8,676.56 × 3,492.64
  4. Step 4: Simplify right side
    6,286.88x = 30,304,100.52
  5. Step 5: Solve for x
    x = 30,304,100.52/6,286.88
  6. Step 6: Final answer
    x = 4,820.21

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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.