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Finding the Fourth Proportional to 3,684.81, 5,084.98 and 2,028.81

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Solution

The fourth proportional to 3,684.81, 5,084.98 and 2,028.81 is: 2,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.81 : 5,084.98 = 2,028.81 : x
  2. Step 2: Convert to fraction form
    3,684.81/5,084.98 = 2,028.81/x
  3. Step 3: Cross multiply
    3,684.81x = 5,084.98 × 2,028.81
  4. Step 4: Simplify right side
    3,684.81x = 10,316,458.27
  5. Step 5: Solve for x
    x = 10,316,458.27/3,684.81
  6. Step 6: Final answer
    x = 2,799.73

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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.