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Finding the Fourth Proportional to 4,297.73, 6,446.72 and 1,524.35

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Solution

The fourth proportional to 4,297.73, 6,446.72 and 1,524.35 is: 2,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.73 : 6,446.72 = 1,524.35 : x
  2. Step 2: Convert to fraction form
    4,297.73/6,446.72 = 1,524.35/x
  3. Step 3: Cross multiply
    4,297.73x = 6,446.72 × 1,524.35
  4. Step 4: Simplify right side
    4,297.73x = 9,827,077.56
  5. Step 5: Solve for x
    x = 9,827,077.56/4,297.73
  6. Step 6: Final answer
    x = 2,286.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.