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Finding the Fourth Proportional to 5,524.76, 7,624.24 and 3,286.74

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Solution

The fourth proportional to 5,524.76, 7,624.24 and 3,286.74 is: 4,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.76 : 7,624.24 = 3,286.74 : x
  2. Step 2: Convert to fraction form
    5,524.76/7,624.24 = 3,286.74/x
  3. Step 3: Cross multiply
    5,524.76x = 7,624.24 × 3,286.74
  4. Step 4: Simplify right side
    5,524.76x = 25,058,894.58
  5. Step 5: Solve for x
    x = 25,058,894.58/5,524.76
  6. Step 6: Final answer
    x = 4,535.74

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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.