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Finding the Fourth Proportional to 3,944.93, 5,894.28 and 3,806.96

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Solution

The fourth proportional to 3,944.93, 5,894.28 and 3,806.96 is: 5,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.93 : 5,894.28 = 3,806.96 : x
  2. Step 2: Convert to fraction form
    3,944.93/5,894.28 = 3,806.96/x
  3. Step 3: Cross multiply
    3,944.93x = 5,894.28 × 3,806.96
  4. Step 4: Simplify right side
    3,944.93x = 22,439,278.23
  5. Step 5: Solve for x
    x = 22,439,278.23/3,944.93
  6. Step 6: Final answer
    x = 5,688.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.