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Finding the Fourth Proportional to 5,139.30, 7,709.40 and 2,019.12

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Solution

The fourth proportional to 5,139.30, 7,709.40 and 2,019.12 is: 3,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.30 : 7,709.40 = 2,019.12 : x
  2. Step 2: Convert to fraction form
    5,139.30/7,709.40 = 2,019.12/x
  3. Step 3: Cross multiply
    5,139.30x = 7,709.40 × 2,019.12
  4. Step 4: Simplify right side
    5,139.30x = 15,566,203.73
  5. Step 5: Solve for x
    x = 15,566,203.73/5,139.30
  6. Step 6: Final answer
    x = 3,028.86

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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.