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Finding the Fourth Proportional to 5,215.69, 7,197.69 and 2,857.87

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Solution

The fourth proportional to 5,215.69, 7,197.69 and 2,857.87 is: 3,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.69 : 7,197.69 = 2,857.87 : x
  2. Step 2: Convert to fraction form
    5,215.69/7,197.69 = 2,857.87/x
  3. Step 3: Cross multiply
    5,215.69x = 7,197.69 × 2,857.87
  4. Step 4: Simplify right side
    5,215.69x = 20,570,062.32
  5. Step 5: Solve for x
    x = 20,570,062.32/5,215.69
  6. Step 6: Final answer
    x = 3,943.88

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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.