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Finding the Fourth Proportional to 3,516.68, 5,273.01 and 1,434.24

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Solution

The fourth proportional to 3,516.68, 5,273.01 and 1,434.24 is: 2,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.68 : 5,273.01 = 1,434.24 : x
  2. Step 2: Convert to fraction form
    3,516.68/5,273.01 = 1,434.24/x
  3. Step 3: Cross multiply
    3,516.68x = 5,273.01 × 1,434.24
  4. Step 4: Simplify right side
    3,516.68x = 7,562,761.86
  5. Step 5: Solve for x
    x = 7,562,761.86/3,516.68
  6. Step 6: Final answer
    x = 2,150.54

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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.