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Finding the Fourth Proportional to 5,218.70, 7,201.76 and 2,860.83

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Solution

The fourth proportional to 5,218.70, 7,201.76 and 2,860.83 is: 3,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.70 : 7,201.76 = 2,860.83 : x
  2. Step 2: Convert to fraction form
    5,218.70/7,201.76 = 2,860.83/x
  3. Step 3: Cross multiply
    5,218.70x = 7,201.76 × 2,860.83
  4. Step 4: Simplify right side
    5,218.70x = 20,603,014.76
  5. Step 5: Solve for x
    x = 20,603,014.76/5,218.70
  6. Step 6: Final answer
    x = 3,947.92

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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.