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Finding the Fourth Proportional to 3,928.63, 5,893.12 and 1,296.37

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Solution

The fourth proportional to 3,928.63, 5,893.12 and 1,296.37 is: 1,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.63 : 5,893.12 = 1,296.37 : x
  2. Step 2: Convert to fraction form
    3,928.63/5,893.12 = 1,296.37/x
  3. Step 3: Cross multiply
    3,928.63x = 5,893.12 × 1,296.37
  4. Step 4: Simplify right side
    3,928.63x = 7,639,639.81
  5. Step 5: Solve for x
    x = 7,639,639.81/3,928.63
  6. Step 6: Final answer
    x = 1,944.61

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