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Finding the Fourth Proportional to 5,218.53, 7,201.20 and 3,093.95

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Solution

The fourth proportional to 5,218.53, 7,201.20 and 3,093.95 is: 4,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.53 : 7,201.20 = 3,093.95 : x
  2. Step 2: Convert to fraction form
    5,218.53/7,201.20 = 3,093.95/x
  3. Step 3: Cross multiply
    5,218.53x = 7,201.20 × 3,093.95
  4. Step 4: Simplify right side
    5,218.53x = 22,280,141.84
  5. Step 5: Solve for x
    x = 22,280,141.84/5,218.53
  6. Step 6: Final answer
    x = 4,269.43

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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.