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Finding the Fourth Proportional to 6,177.06, 8,524.14 and 3,524.22

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Solution

The fourth proportional to 6,177.06, 8,524.14 and 3,524.22 is: 4,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.06 : 8,524.14 = 3,524.22 : x
  2. Step 2: Convert to fraction form
    6,177.06/8,524.14 = 3,524.22/x
  3. Step 3: Cross multiply
    6,177.06x = 8,524.14 × 3,524.22
  4. Step 4: Simplify right side
    6,177.06x = 30,040,944.67
  5. Step 5: Solve for x
    x = 30,040,944.67/6,177.06
  6. Step 6: Final answer
    x = 4,863.31

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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.