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Finding the Fourth Proportional to 3,763.14, 5,637.42 and 2,114.66

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Solution

The fourth proportional to 3,763.14, 5,637.42 and 2,114.66 is: 3,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.14 : 5,637.42 = 2,114.66 : x
  2. Step 2: Convert to fraction form
    3,763.14/5,637.42 = 2,114.66/x
  3. Step 3: Cross multiply
    3,763.14x = 5,637.42 × 2,114.66
  4. Step 4: Simplify right side
    3,763.14x = 11,921,198.39
  5. Step 5: Solve for x
    x = 11,921,198.39/3,763.14
  6. Step 6: Final answer
    x = 3,167.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.