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Finding the Fourth Proportional to 5,944.93, 8,200.37 and 3,819.76

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Solution

The fourth proportional to 5,944.93, 8,200.37 and 3,819.76 is: 5,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.93 : 8,200.37 = 3,819.76 : x
  2. Step 2: Convert to fraction form
    5,944.93/8,200.37 = 3,819.76/x
  3. Step 3: Cross multiply
    5,944.93x = 8,200.37 × 3,819.76
  4. Step 4: Simplify right side
    5,944.93x = 31,323,434.36
  5. Step 5: Solve for x
    x = 31,323,434.36/5,944.93
  6. Step 6: Final answer
    x = 5,268.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.