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Finding the Fourth Proportional to 4,619.34, 6,928.20 and 1,843.92

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Solution

The fourth proportional to 4,619.34, 6,928.20 and 1,843.92 is: 2,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.34 : 6,928.20 = 1,843.92 : x
  2. Step 2: Convert to fraction form
    4,619.34/6,928.20 = 1,843.92/x
  3. Step 3: Cross multiply
    4,619.34x = 6,928.20 × 1,843.92
  4. Step 4: Simplify right side
    4,619.34x = 12,775,046.54
  5. Step 5: Solve for x
    x = 12,775,046.54/4,619.34
  6. Step 6: Final answer
    x = 2,765.56

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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.