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Finding the Fourth Proportional to 3,944.74, 5,917.14 and 1,752.88

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Solution

The fourth proportional to 3,944.74, 5,917.14 and 1,752.88 is: 2,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.74 : 5,917.14 = 1,752.88 : x
  2. Step 2: Convert to fraction form
    3,944.74/5,917.14 = 1,752.88/x
  3. Step 3: Cross multiply
    3,944.74x = 5,917.14 × 1,752.88
  4. Step 4: Simplify right side
    3,944.74x = 10,372,036.36
  5. Step 5: Solve for x
    x = 10,372,036.36/3,944.74
  6. Step 6: Final answer
    x = 2,629.33

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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.