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Finding the Fourth Proportional to 6,286.40, 8,674.99 and 3,492.08

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Solution

The fourth proportional to 6,286.40, 8,674.99 and 3,492.08 is: 4,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.40 : 8,674.99 = 3,492.08 : x
  2. Step 2: Convert to fraction form
    6,286.40/8,674.99 = 3,492.08/x
  3. Step 3: Cross multiply
    6,286.40x = 8,674.99 × 3,492.08
  4. Step 4: Simplify right side
    6,286.40x = 30,293,759.08
  5. Step 5: Solve for x
    x = 30,293,759.08/6,286.40
  6. Step 6: Final answer
    x = 4,818.94

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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.