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Finding the Fourth Proportional to 6,177.74, 8,524.82 and 3,524.62

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Solution

The fourth proportional to 6,177.74, 8,524.82 and 3,524.62 is: 4,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.74 : 8,524.82 = 3,524.62 : x
  2. Step 2: Convert to fraction form
    6,177.74/8,524.82 = 3,524.62/x
  3. Step 3: Cross multiply
    6,177.74x = 8,524.82 × 3,524.62
  4. Step 4: Simplify right side
    6,177.74x = 30,046,751.07
  5. Step 5: Solve for x
    x = 30,046,751.07/6,177.74
  6. Step 6: Final answer
    x = 4,863.71

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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.