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Finding the Fourth Proportional to 5,944.64, 8,917.20 and 1,562.54

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Solution

The fourth proportional to 5,944.64, 8,917.20 and 1,562.54 is: 2,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.64 : 8,917.20 = 1,562.54 : x
  2. Step 2: Convert to fraction form
    5,944.64/8,917.20 = 1,562.54/x
  3. Step 3: Cross multiply
    5,944.64x = 8,917.20 × 1,562.54
  4. Step 4: Simplify right side
    5,944.64x = 13,933,481.69
  5. Step 5: Solve for x
    x = 13,933,481.69/5,944.64
  6. Step 6: Final answer
    x = 2,343.87

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Why These Related Problems?

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