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Finding the Fourth Proportional to 5,843.32, 8,066.70 and 3,720.96

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Solution

The fourth proportional to 5,843.32, 8,066.70 and 3,720.96 is: 5,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.32 : 8,066.70 = 3,720.96 : x
  2. Step 2: Convert to fraction form
    5,843.32/8,066.70 = 3,720.96/x
  3. Step 3: Cross multiply
    5,843.32x = 8,066.70 × 3,720.96
  4. Step 4: Simplify right side
    5,843.32x = 30,015,868.03
  5. Step 5: Solve for x
    x = 30,015,868.03/5,843.32
  6. Step 6: Final answer
    x = 5,136.78

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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.