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Finding the Fourth Proportional to 5,601.80, 8,409.10 and 3,294.60

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Solution

The fourth proportional to 5,601.80, 8,409.10 and 3,294.60 is: 4,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.80 : 8,409.10 = 3,294.60 : x
  2. Step 2: Convert to fraction form
    5,601.80/8,409.10 = 3,294.60/x
  3. Step 3: Cross multiply
    5,601.80x = 8,409.10 × 3,294.60
  4. Step 4: Simplify right side
    5,601.80x = 27,704,620.86
  5. Step 5: Solve for x
    x = 27,704,620.86/5,601.80
  6. Step 6: Final answer
    x = 4,945.66

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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.