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Finding the Fourth Proportional to 3,793.60, 5,689.92 and 1,196.80

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Solution

The fourth proportional to 3,793.60, 5,689.92 and 1,196.80 is: 1,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.60 : 5,689.92 = 1,196.80 : x
  2. Step 2: Convert to fraction form
    3,793.60/5,689.92 = 1,196.80/x
  3. Step 3: Cross multiply
    3,793.60x = 5,689.92 × 1,196.80
  4. Step 4: Simplify right side
    3,793.60x = 6,809,696.26
  5. Step 5: Solve for x
    x = 6,809,696.26/3,793.60
  6. Step 6: Final answer
    x = 1,795.05

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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.