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Finding the Fourth Proportional to 3,928.96, 5,894.09 and 1,822.70

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Solution

The fourth proportional to 3,928.96, 5,894.09 and 1,822.70 is: 2,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.96 : 5,894.09 = 1,822.70 : x
  2. Step 2: Convert to fraction form
    3,928.96/5,894.09 = 1,822.70/x
  3. Step 3: Cross multiply
    3,928.96x = 5,894.09 × 1,822.70
  4. Step 4: Simplify right side
    3,928.96x = 10,743,132.93
  5. Step 5: Solve for x
    x = 10,743,132.93/3,928.96
  6. Step 6: Final answer
    x = 2,734.35

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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.