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Finding the Fourth Proportional to 4,617.71, 6,372.44 and 2,849.31

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Solution

The fourth proportional to 4,617.71, 6,372.44 and 2,849.31 is: 3,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.71 : 6,372.44 = 2,849.31 : x
  2. Step 2: Convert to fraction form
    4,617.71/6,372.44 = 2,849.31/x
  3. Step 3: Cross multiply
    4,617.71x = 6,372.44 × 2,849.31
  4. Step 4: Simplify right side
    4,617.71x = 18,157,042.77
  5. Step 5: Solve for x
    x = 18,157,042.77/4,617.71
  6. Step 6: Final answer
    x = 3,932.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.