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Finding the Fourth Proportional to 3,285.97, 4,534.65 and 1,793.84

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Solution

The fourth proportional to 3,285.97, 4,534.65 and 1,793.84 is: 2,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.97 : 4,534.65 = 1,793.84 : x
  2. Step 2: Convert to fraction form
    3,285.97/4,534.65 = 1,793.84/x
  3. Step 3: Cross multiply
    3,285.97x = 4,534.65 × 1,793.84
  4. Step 4: Simplify right side
    3,285.97x = 8,134,413.88
  5. Step 5: Solve for x
    x = 8,134,413.88/3,285.97
  6. Step 6: Final answer
    x = 2,475.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.