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Finding the Fourth Proportional to 3,824.68, 5,737.86 and 1,516.12

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Solution

The fourth proportional to 3,824.68, 5,737.86 and 1,516.12 is: 2,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.68 : 5,737.86 = 1,516.12 : x
  2. Step 2: Convert to fraction form
    3,824.68/5,737.86 = 1,516.12/x
  3. Step 3: Cross multiply
    3,824.68x = 5,737.86 × 1,516.12
  4. Step 4: Simplify right side
    3,824.68x = 8,699,284.30
  5. Step 5: Solve for x
    x = 8,699,284.30/3,824.68
  6. Step 6: Final answer
    x = 2,274.51

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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.