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Finding the Fourth Proportional to 3,344.64, 5,021.64 and 3,286.32

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Solution

The fourth proportional to 3,344.64, 5,021.64 and 3,286.32 is: 4,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.64 : 5,021.64 = 3,286.32 : x
  2. Step 2: Convert to fraction form
    3,344.64/5,021.64 = 3,286.32/x
  3. Step 3: Cross multiply
    3,344.64x = 5,021.64 × 3,286.32
  4. Step 4: Simplify right side
    3,344.64x = 16,502,715.96
  5. Step 5: Solve for x
    x = 16,502,715.96/3,344.64
  6. Step 6: Final answer
    x = 4,934.08

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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.