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Finding the Fourth Proportional to 6,176.98, 8,524.72 and 3,523.78

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Solution

The fourth proportional to 6,176.98, 8,524.72 and 3,523.78 is: 4,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.98 : 8,524.72 = 3,523.78 : x
  2. Step 2: Convert to fraction form
    6,176.98/8,524.72 = 3,523.78/x
  3. Step 3: Cross multiply
    6,176.98x = 8,524.72 × 3,523.78
  4. Step 4: Simplify right side
    6,176.98x = 30,039,237.84
  5. Step 5: Solve for x
    x = 30,039,237.84/6,176.98
  6. Step 6: Final answer
    x = 4,863.09

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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.