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Finding the Fourth Proportional to 4,615.31, 6,917.49 and 2,422.86

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Solution

The fourth proportional to 4,615.31, 6,917.49 and 2,422.86 is: 3,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.31 : 6,917.49 = 2,422.86 : x
  2. Step 2: Convert to fraction form
    4,615.31/6,917.49 = 2,422.86/x
  3. Step 3: Cross multiply
    4,615.31x = 6,917.49 × 2,422.86
  4. Step 4: Simplify right side
    4,615.31x = 16,760,109.82
  5. Step 5: Solve for x
    x = 16,760,109.82/4,615.31
  6. Step 6: Final answer
    x = 3,631.42

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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.