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Finding the Fourth Proportional to 4,471.92, 6,704.82 and 2,276.40

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Solution

The fourth proportional to 4,471.92, 6,704.82 and 2,276.40 is: 3,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.92 : 6,704.82 = 2,276.40 : x
  2. Step 2: Convert to fraction form
    4,471.92/6,704.82 = 2,276.40/x
  3. Step 3: Cross multiply
    4,471.92x = 6,704.82 × 2,276.40
  4. Step 4: Simplify right side
    4,471.92x = 15,262,852.25
  5. Step 5: Solve for x
    x = 15,262,852.25/4,471.92
  6. Step 6: Final answer
    x = 3,413.04

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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.