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Finding the Fourth Proportional to 4,952.73, 6,829.17 and 3,157.82

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Solution

The fourth proportional to 4,952.73, 6,829.17 and 3,157.82 is: 4,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.73 : 6,829.17 = 3,157.82 : x
  2. Step 2: Convert to fraction form
    4,952.73/6,829.17 = 3,157.82/x
  3. Step 3: Cross multiply
    4,952.73x = 6,829.17 × 3,157.82
  4. Step 4: Simplify right side
    4,952.73x = 21,565,272.54
  5. Step 5: Solve for x
    x = 21,565,272.54/4,952.73
  6. Step 6: Final answer
    x = 4,354.22

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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.