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Finding the Fourth Proportional to 3,226.62, 4,458.21 and 2,569.32

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Solution

The fourth proportional to 3,226.62, 4,458.21 and 2,569.32 is: 3,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.62 : 4,458.21 = 2,569.32 : x
  2. Step 2: Convert to fraction form
    3,226.62/4,458.21 = 2,569.32/x
  3. Step 3: Cross multiply
    3,226.62x = 4,458.21 × 2,569.32
  4. Step 4: Simplify right side
    3,226.62x = 11,454,568.12
  5. Step 5: Solve for x
    x = 11,454,568.12/3,226.62
  6. Step 6: Final answer
    x = 3,550.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.