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Finding the Fourth Proportional to 3,238.39, 4,857.57 and 1,290.13

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Solution

The fourth proportional to 3,238.39, 4,857.57 and 1,290.13 is: 1,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.39 : 4,857.57 = 1,290.13 : x
  2. Step 2: Convert to fraction form
    3,238.39/4,857.57 = 1,290.13/x
  3. Step 3: Cross multiply
    3,238.39x = 4,857.57 × 1,290.13
  4. Step 4: Simplify right side
    3,238.39x = 6,266,896.78
  5. Step 5: Solve for x
    x = 6,266,896.78/3,238.39
  6. Step 6: Final answer
    x = 1,935.19

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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.