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Finding the Fourth Proportional to 3,690.89, 5,093.25 and 2,012.30

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Solution

The fourth proportional to 3,690.89, 5,093.25 and 2,012.30 is: 2,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.89 : 5,093.25 = 2,012.30 : x
  2. Step 2: Convert to fraction form
    3,690.89/5,093.25 = 2,012.30/x
  3. Step 3: Cross multiply
    3,690.89x = 5,093.25 × 2,012.30
  4. Step 4: Simplify right side
    3,690.89x = 10,249,121.51
  5. Step 5: Solve for x
    x = 10,249,121.51/3,690.89
  6. Step 6: Final answer
    x = 2,776.87

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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.