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Finding the Fourth Proportional to 3,388.83, 5,084.66 and 1,197.78

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Solution

The fourth proportional to 3,388.83, 5,084.66 and 1,197.78 is: 1,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.83 : 5,084.66 = 1,197.78 : x
  2. Step 2: Convert to fraction form
    3,388.83/5,084.66 = 1,197.78/x
  3. Step 3: Cross multiply
    3,388.83x = 5,084.66 × 1,197.78
  4. Step 4: Simplify right side
    3,388.83x = 6,090,304.05
  5. Step 5: Solve for x
    x = 6,090,304.05/3,388.83
  6. Step 6: Final answer
    x = 1,797.17

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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.