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Finding the Fourth Proportional to 3,775.14, 5,209.68 and 2,119.14

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Solution

The fourth proportional to 3,775.14, 5,209.68 and 2,119.14 is: 2,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.14 : 5,209.68 = 2,119.14 : x
  2. Step 2: Convert to fraction form
    3,775.14/5,209.68 = 2,119.14/x
  3. Step 3: Cross multiply
    3,775.14x = 5,209.68 × 2,119.14
  4. Step 4: Simplify right side
    3,775.14x = 11,040,041.28
  5. Step 5: Solve for x
    x = 11,040,041.28/3,775.14
  6. Step 6: Final answer
    x = 2,924.41

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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.