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Finding the Fourth Proportional to 3,684.42, 5,084.63 and 2,005.90

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Solution

The fourth proportional to 3,684.42, 5,084.63 and 2,005.90 is: 2,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.42 : 5,084.63 = 2,005.90 : x
  2. Step 2: Convert to fraction form
    3,684.42/5,084.63 = 2,005.90/x
  3. Step 3: Cross multiply
    3,684.42x = 5,084.63 × 2,005.90
  4. Step 4: Simplify right side
    3,684.42x = 10,199,249.29
  5. Step 5: Solve for x
    x = 10,199,249.29/3,684.42
  6. Step 6: Final answer
    x = 2,768.21

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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.