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Finding the Fourth Proportional to 3,793.32, 5,690.16 and 3,064.32

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Solution

The fourth proportional to 3,793.32, 5,690.16 and 3,064.32 is: 4,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.32 : 5,690.16 = 3,064.32 : x
  2. Step 2: Convert to fraction form
    3,793.32/5,690.16 = 3,064.32/x
  3. Step 3: Cross multiply
    3,793.32x = 5,690.16 × 3,064.32
  4. Step 4: Simplify right side
    3,793.32x = 17,436,471.09
  5. Step 5: Solve for x
    x = 17,436,471.09/3,793.32
  6. Step 6: Final answer
    x = 4,596.63

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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.