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Finding the Fourth Proportional to 3,799.67, 5,706.54 and 3,107.81

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Solution

The fourth proportional to 3,799.67, 5,706.54 and 3,107.81 is: 4,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.67 : 5,706.54 = 3,107.81 : x
  2. Step 2: Convert to fraction form
    3,799.67/5,706.54 = 3,107.81/x
  3. Step 3: Cross multiply
    3,799.67x = 5,706.54 × 3,107.81
  4. Step 4: Simplify right side
    3,799.67x = 17,734,842.08
  5. Step 5: Solve for x
    x = 17,734,842.08/3,799.67
  6. Step 6: Final answer
    x = 4,667.47

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Why These Related Problems?

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