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Finding the Fourth Proportional to 3,239.49, 4,859.24 and 1,291.71

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Solution

The fourth proportional to 3,239.49, 4,859.24 and 1,291.71 is: 1,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.49 : 4,859.24 = 1,291.71 : x
  2. Step 2: Convert to fraction form
    3,239.49/4,859.24 = 1,291.71/x
  3. Step 3: Cross multiply
    3,239.49x = 4,859.24 × 1,291.71
  4. Step 4: Simplify right side
    3,239.49x = 6,276,722.44
  5. Step 5: Solve for x
    x = 6,276,722.44/3,239.49
  6. Step 6: Final answer
    x = 1,937.57

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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.