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Finding the Fourth Proportional to 5,099.97, 7,650.63 and 2,178.95

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Solution

The fourth proportional to 5,099.97, 7,650.63 and 2,178.95 is: 3,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.97 : 7,650.63 = 2,178.95 : x
  2. Step 2: Convert to fraction form
    5,099.97/7,650.63 = 2,178.95/x
  3. Step 3: Cross multiply
    5,099.97x = 7,650.63 × 2,178.95
  4. Step 4: Simplify right side
    5,099.97x = 16,670,301.99
  5. Step 5: Solve for x
    x = 16,670,301.99/5,099.97
  6. Step 6: Final answer
    x = 3,268.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.