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Finding the Fourth Proportional to 4,965.57, 7,433.78 and 3,918.24

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Solution

The fourth proportional to 4,965.57, 7,433.78 and 3,918.24 is: 5,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.57 : 7,433.78 = 3,918.24 : x
  2. Step 2: Convert to fraction form
    4,965.57/7,433.78 = 3,918.24/x
  3. Step 3: Cross multiply
    4,965.57x = 7,433.78 × 3,918.24
  4. Step 4: Simplify right side
    4,965.57x = 29,127,314.56
  5. Step 5: Solve for x
    x = 29,127,314.56/4,965.57
  6. Step 6: Final answer
    x = 5,865.86

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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.