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Finding the Fourth Proportional to 3,822.18, 5,724.71 and 3,322.18

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Solution

The fourth proportional to 3,822.18, 5,724.71 and 3,322.18 is: 4,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.18 : 5,724.71 = 3,322.18 : x
  2. Step 2: Convert to fraction form
    3,822.18/5,724.71 = 3,322.18/x
  3. Step 3: Cross multiply
    3,822.18x = 5,724.71 × 3,322.18
  4. Step 4: Simplify right side
    3,822.18x = 19,018,517.07
  5. Step 5: Solve for x
    x = 19,018,517.07/3,822.18
  6. Step 6: Final answer
    x = 4,975.83

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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.