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Finding the Fourth Proportional to 3,901.71, 5,843.91 and 2,802.78

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Solution

The fourth proportional to 3,901.71, 5,843.91 and 2,802.78 is: 4,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.71 : 5,843.91 = 2,802.78 : x
  2. Step 2: Convert to fraction form
    3,901.71/5,843.91 = 2,802.78/x
  3. Step 3: Cross multiply
    3,901.71x = 5,843.91 × 2,802.78
  4. Step 4: Simplify right side
    3,901.71x = 16,379,194.07
  5. Step 5: Solve for x
    x = 16,379,194.07/3,901.71
  6. Step 6: Final answer
    x = 4,197.95

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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.