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Finding the Fourth Proportional to 5,107.79, 7,048.69 and 2,839.05

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Solution

The fourth proportional to 5,107.79, 7,048.69 and 2,839.05 is: 3,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.79 : 7,048.69 = 2,839.05 : x
  2. Step 2: Convert to fraction form
    5,107.79/7,048.69 = 2,839.05/x
  3. Step 3: Cross multiply
    5,107.79x = 7,048.69 × 2,839.05
  4. Step 4: Simplify right side
    5,107.79x = 20,011,576.25
  5. Step 5: Solve for x
    x = 20,011,576.25/5,107.79
  6. Step 6: Final answer
    x = 3,917.85

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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.