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Finding the Fourth Proportional to 5,218.66, 7,201.67 and 2,860.80

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Solution

The fourth proportional to 5,218.66, 7,201.67 and 2,860.80 is: 3,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.66 : 7,201.67 = 2,860.80 : x
  2. Step 2: Convert to fraction form
    5,218.66/7,201.67 = 2,860.80/x
  3. Step 3: Cross multiply
    5,218.66x = 7,201.67 × 2,860.80
  4. Step 4: Simplify right side
    5,218.66x = 20,602,537.54
  5. Step 5: Solve for x
    x = 20,602,537.54/5,218.66
  6. Step 6: Final answer
    x = 3,947.86

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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.