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Finding the Fourth Proportional to 5,215.78, 7,197.78 and 2,857.91

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Solution

The fourth proportional to 5,215.78, 7,197.78 and 2,857.91 is: 3,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.78 : 7,197.78 = 2,857.91 : x
  2. Step 2: Convert to fraction form
    5,215.78/7,197.78 = 2,857.91/x
  3. Step 3: Cross multiply
    5,215.78x = 7,197.78 × 2,857.91
  4. Step 4: Simplify right side
    5,215.78x = 20,570,607.44
  5. Step 5: Solve for x
    x = 20,570,607.44/5,215.78
  6. Step 6: Final answer
    x = 3,943.92

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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.