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Finding the Fourth Proportional to 3,944.76, 5,917.14 and 1,349.52

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Solution

The fourth proportional to 3,944.76, 5,917.14 and 1,349.52 is: 2,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.76 : 5,917.14 = 1,349.52 : x
  2. Step 2: Convert to fraction form
    3,944.76/5,917.14 = 1,349.52/x
  3. Step 3: Cross multiply
    3,944.76x = 5,917.14 × 1,349.52
  4. Step 4: Simplify right side
    3,944.76x = 7,985,298.77
  5. Step 5: Solve for x
    x = 7,985,298.77/3,944.76
  6. Step 6: Final answer
    x = 2,024.28

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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.