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Finding the Fourth Proportional to 4,179.69, 6,270.14 and 2,230.83

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Solution

The fourth proportional to 4,179.69, 6,270.14 and 2,230.83 is: 3,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.69 : 6,270.14 = 2,230.83 : x
  2. Step 2: Convert to fraction form
    4,179.69/6,270.14 = 2,230.83/x
  3. Step 3: Cross multiply
    4,179.69x = 6,270.14 × 2,230.83
  4. Step 4: Simplify right side
    4,179.69x = 13,987,585.93
  5. Step 5: Solve for x
    x = 13,987,585.93/4,179.69
  6. Step 6: Final answer
    x = 3,346.56

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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.