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Finding the Fourth Proportional to 3,781.32, 5,705.81 and 3,629.61

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Solution

The fourth proportional to 3,781.32, 5,705.81 and 3,629.61 is: 5,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.32 : 5,705.81 = 3,629.61 : x
  2. Step 2: Convert to fraction form
    3,781.32/5,705.81 = 3,629.61/x
  3. Step 3: Cross multiply
    3,781.32x = 5,705.81 × 3,629.61
  4. Step 4: Simplify right side
    3,781.32x = 20,709,860.50
  5. Step 5: Solve for x
    x = 20,709,860.50/3,781.32
  6. Step 6: Final answer
    x = 5,476.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.