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Finding the Fourth Proportional to 5,215.64, 7,197.69 and 2,857.78

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Solution

The fourth proportional to 5,215.64, 7,197.69 and 2,857.78 is: 3,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.64 : 7,197.69 = 2,857.78 : x
  2. Step 2: Convert to fraction form
    5,215.64/7,197.69 = 2,857.78/x
  3. Step 3: Cross multiply
    5,215.64x = 7,197.69 × 2,857.78
  4. Step 4: Simplify right side
    5,215.64x = 20,569,371.40
  5. Step 5: Solve for x
    x = 20,569,371.40/5,215.64
  6. Step 6: Final answer
    x = 3,943.79

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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.