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Finding the Fourth Proportional to 3,809.38, 5,712.85 and 1,211.71

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Solution

The fourth proportional to 3,809.38, 5,712.85 and 1,211.71 is: 1,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.38 : 5,712.85 = 1,211.71 : x
  2. Step 2: Convert to fraction form
    3,809.38/5,712.85 = 1,211.71/x
  3. Step 3: Cross multiply
    3,809.38x = 5,712.85 × 1,211.71
  4. Step 4: Simplify right side
    3,809.38x = 6,922,317.47
  5. Step 5: Solve for x
    x = 6,922,317.47/3,809.38
  6. Step 6: Final answer
    x = 1,817.18

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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.