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Finding the Fourth Proportional to 4,317, 6,476.28 and 2,857.36

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Solution

The fourth proportional to 4,317, 6,476.28 and 2,857.36 is: 4,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317 : 6,476.28 = 2,857.36 : x
  2. Step 2: Convert to fraction form
    4,317/6,476.28 = 2,857.36/x
  3. Step 3: Cross multiply
    4,317x = 6,476.28 × 2,857.36
  4. Step 4: Simplify right side
    4,317x = 18,505,063.42
  5. Step 5: Solve for x
    x = 18,505,063.42/4,317
  6. Step 6: Final answer
    x = 4,286.56

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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.