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Finding the Fourth Proportional to 3,793.56, 5,690.46 and 1,328.18

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Solution

The fourth proportional to 3,793.56, 5,690.46 and 1,328.18 is: 1,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.56 : 5,690.46 = 1,328.18 : x
  2. Step 2: Convert to fraction form
    3,793.56/5,690.46 = 1,328.18/x
  3. Step 3: Cross multiply
    3,793.56x = 5,690.46 × 1,328.18
  4. Step 4: Simplify right side
    3,793.56x = 7,557,955.16
  5. Step 5: Solve for x
    x = 7,557,955.16/3,793.56
  6. Step 6: Final answer
    x = 1,992.31

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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.