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Finding the Fourth Proportional to 5,724.32, 8,585.95 and 2,212.21

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Solution

The fourth proportional to 5,724.32, 8,585.95 and 2,212.21 is: 3,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.32 : 8,585.95 = 2,212.21 : x
  2. Step 2: Convert to fraction form
    5,724.32/8,585.95 = 2,212.21/x
  3. Step 3: Cross multiply
    5,724.32x = 8,585.95 × 2,212.21
  4. Step 4: Simplify right side
    5,724.32x = 18,993,933.80
  5. Step 5: Solve for x
    x = 18,993,933.80/5,724.32
  6. Step 6: Final answer
    x = 3,318.11

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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.