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Finding the Fourth Proportional to 6,286.74, 8,676.36 and 3,492.24

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Solution

The fourth proportional to 6,286.74, 8,676.36 and 3,492.24 is: 4,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.74 : 8,676.36 = 3,492.24 : x
  2. Step 2: Convert to fraction form
    6,286.74/8,676.36 = 3,492.24/x
  3. Step 3: Cross multiply
    6,286.74x = 8,676.36 × 3,492.24
  4. Step 4: Simplify right side
    6,286.74x = 30,299,931.45
  5. Step 5: Solve for x
    x = 30,299,931.45/6,286.74
  6. Step 6: Final answer
    x = 4,819.66

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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.