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Finding the Fourth Proportional to 4,147.63, 6,233.73 and 3,842.08

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Solution

The fourth proportional to 4,147.63, 6,233.73 and 3,842.08 is: 5,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.63 : 6,233.73 = 3,842.08 : x
  2. Step 2: Convert to fraction form
    4,147.63/6,233.73 = 3,842.08/x
  3. Step 3: Cross multiply
    4,147.63x = 6,233.73 × 3,842.08
  4. Step 4: Simplify right side
    4,147.63x = 23,950,489.36
  5. Step 5: Solve for x
    x = 23,950,489.36/4,147.63
  6. Step 6: Final answer
    x = 5,774.50

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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.