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Finding the Fourth Proportional to 3,636.84, 5,019.82 and 2,065.44

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Solution

The fourth proportional to 3,636.84, 5,019.82 and 2,065.44 is: 2,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.84 : 5,019.82 = 2,065.44 : x
  2. Step 2: Convert to fraction form
    3,636.84/5,019.82 = 2,065.44/x
  3. Step 3: Cross multiply
    3,636.84x = 5,019.82 × 2,065.44
  4. Step 4: Simplify right side
    3,636.84x = 10,368,137.02
  5. Step 5: Solve for x
    x = 10,368,137.02/3,636.84
  6. Step 6: Final answer
    x = 2,850.86

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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.