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Finding the Fourth Proportional to 3,238.35, 4,857.84 and 1,290.09

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Solution

The fourth proportional to 3,238.35, 4,857.84 and 1,290.09 is: 1,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.35 : 4,857.84 = 1,290.09 : x
  2. Step 2: Convert to fraction form
    3,238.35/4,857.84 = 1,290.09/x
  3. Step 3: Cross multiply
    3,238.35x = 4,857.84 × 1,290.09
  4. Step 4: Simplify right side
    3,238.35x = 6,267,069.02
  5. Step 5: Solve for x
    x = 6,267,069.02/3,238.35
  6. Step 6: Final answer
    x = 1,935.27

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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.