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Finding the Fourth Proportional to 3,286.44, 4,928.38 and 1,412.16

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Solution

The fourth proportional to 3,286.44, 4,928.38 and 1,412.16 is: 2,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.44 : 4,928.38 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    3,286.44/4,928.38 = 1,412.16/x
  3. Step 3: Cross multiply
    3,286.44x = 4,928.38 × 1,412.16
  4. Step 4: Simplify right side
    3,286.44x = 6,959,661.10
  5. Step 5: Solve for x
    x = 6,959,661.10/3,286.44
  6. Step 6: Final answer
    x = 2,117.69

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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.