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Finding the Fourth Proportional to 3,963, 5,944.48 and 1,624.09

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Solution

The fourth proportional to 3,963, 5,944.48 and 1,624.09 is: 2,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963 : 5,944.48 = 1,624.09 : x
  2. Step 2: Convert to fraction form
    3,963/5,944.48 = 1,624.09/x
  3. Step 3: Cross multiply
    3,963x = 5,944.48 × 1,624.09
  4. Step 4: Simplify right side
    3,963x = 9,654,370.52
  5. Step 5: Solve for x
    x = 9,654,370.52/3,963
  6. Step 6: Final answer
    x = 2,436.13

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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.