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Finding the Fourth Proportional to 5,215.32, 7,196.99 and 2,857.41

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Solution

The fourth proportional to 5,215.32, 7,196.99 and 2,857.41 is: 3,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.32 : 7,196.99 = 2,857.41 : x
  2. Step 2: Convert to fraction form
    5,215.32/7,196.99 = 2,857.41/x
  3. Step 3: Cross multiply
    5,215.32x = 7,196.99 × 2,857.41
  4. Step 4: Simplify right side
    5,215.32x = 20,564,736.91
  5. Step 5: Solve for x
    x = 20,564,736.91/5,215.32
  6. Step 6: Final answer
    x = 3,943.14

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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.