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Finding the Fourth Proportional to 3,238.98, 4,859.16 and 1,291.08

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Solution

The fourth proportional to 3,238.98, 4,859.16 and 1,291.08 is: 1,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.98 : 4,859.16 = 1,291.08 : x
  2. Step 2: Convert to fraction form
    3,238.98/4,859.16 = 1,291.08/x
  3. Step 3: Cross multiply
    3,238.98x = 4,859.16 × 1,291.08
  4. Step 4: Simplify right side
    3,238.98x = 6,273,564.29
  5. Step 5: Solve for x
    x = 6,273,564.29/3,238.98
  6. Step 6: Final answer
    x = 1,936.90

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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.