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Finding the Fourth Proportional to 5,215.71, 7,197.69 and 2,857.86

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Solution

The fourth proportional to 5,215.71, 7,197.69 and 2,857.86 is: 3,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.71 : 7,197.69 = 2,857.86 : x
  2. Step 2: Convert to fraction form
    5,215.71/7,197.69 = 2,857.86/x
  3. Step 3: Cross multiply
    5,215.71x = 7,197.69 × 2,857.86
  4. Step 4: Simplify right side
    5,215.71x = 20,569,990.34
  5. Step 5: Solve for x
    x = 20,569,990.34/5,215.71
  6. Step 6: Final answer
    x = 3,943.85

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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.