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Finding the Fourth Proportional to 3,845.72, 5,767.14 and 3,033.56

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Solution

The fourth proportional to 3,845.72, 5,767.14 and 3,033.56 is: 4,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.72 : 5,767.14 = 3,033.56 : x
  2. Step 2: Convert to fraction form
    3,845.72/5,767.14 = 3,033.56/x
  3. Step 3: Cross multiply
    3,845.72x = 5,767.14 × 3,033.56
  4. Step 4: Simplify right side
    3,845.72x = 17,494,965.22
  5. Step 5: Solve for x
    x = 17,494,965.22/3,845.72
  6. Step 6: Final answer
    x = 4,549.20

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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.