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Finding the Fourth Proportional to 3,781.80, 5,213.94 and 2,718.71

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Solution

The fourth proportional to 3,781.80, 5,213.94 and 2,718.71 is: 3,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.80 : 5,213.94 = 2,718.71 : x
  2. Step 2: Convert to fraction form
    3,781.80/5,213.94 = 2,718.71/x
  3. Step 3: Cross multiply
    3,781.80x = 5,213.94 × 2,718.71
  4. Step 4: Simplify right side
    3,781.80x = 14,175,226.37
  5. Step 5: Solve for x
    x = 14,175,226.37/3,781.80
  6. Step 6: Final answer
    x = 3,748.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.