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Finding the Fourth Proportional to 5,218.41, 7,201.86 and 2,861

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Solution

The fourth proportional to 5,218.41, 7,201.86 and 2,861 is: 3,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.41 : 7,201.86 = 2,861 : x
  2. Step 2: Convert to fraction form
    5,218.41/7,201.86 = 2,861/x
  3. Step 3: Cross multiply
    5,218.41x = 7,201.86 × 2,861
  4. Step 4: Simplify right side
    5,218.41x = 20,604,521.46
  5. Step 5: Solve for x
    x = 20,604,521.46/5,218.41
  6. Step 6: Final answer
    x = 3,948.43

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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.