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Finding the Fourth Proportional to 3,839.90, 5,297.07 and 2,514.14

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Solution

The fourth proportional to 3,839.90, 5,297.07 and 2,514.14 is: 3,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.90 : 5,297.07 = 2,514.14 : x
  2. Step 2: Convert to fraction form
    3,839.90/5,297.07 = 2,514.14/x
  3. Step 3: Cross multiply
    3,839.90x = 5,297.07 × 2,514.14
  4. Step 4: Simplify right side
    3,839.90x = 13,317,575.57
  5. Step 5: Solve for x
    x = 13,317,575.57/3,839.90
  6. Step 6: Final answer
    x = 3,468.21

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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.