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Finding the Fourth Proportional to 4,473.40, 6,174.17 and 2,857.27

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Solution

The fourth proportional to 4,473.40, 6,174.17 and 2,857.27 is: 3,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.40 : 6,174.17 = 2,857.27 : x
  2. Step 2: Convert to fraction form
    4,473.40/6,174.17 = 2,857.27/x
  3. Step 3: Cross multiply
    4,473.40x = 6,174.17 × 2,857.27
  4. Step 4: Simplify right side
    4,473.40x = 17,641,256.43
  5. Step 5: Solve for x
    x = 17,641,256.43/4,473.40
  6. Step 6: Final answer
    x = 3,943.59

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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.