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Finding the Fourth Proportional to 3,808.17, 5,713.15 and 1,211.11

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Solution

The fourth proportional to 3,808.17, 5,713.15 and 1,211.11 is: 1,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.17 : 5,713.15 = 1,211.11 : x
  2. Step 2: Convert to fraction form
    3,808.17/5,713.15 = 1,211.11/x
  3. Step 3: Cross multiply
    3,808.17x = 5,713.15 × 1,211.11
  4. Step 4: Simplify right side
    3,808.17x = 6,919,224.53
  5. Step 5: Solve for x
    x = 6,919,224.53/3,808.17
  6. Step 6: Final answer
    x = 1,816.94

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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.