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Finding the Fourth Proportional to 4,932.18, 7,385.31 and 3,463.38

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Solution

The fourth proportional to 4,932.18, 7,385.31 and 3,463.38 is: 5,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.18 : 7,385.31 = 3,463.38 : x
  2. Step 2: Convert to fraction form
    4,932.18/7,385.31 = 3,463.38/x
  3. Step 3: Cross multiply
    4,932.18x = 7,385.31 × 3,463.38
  4. Step 4: Simplify right side
    4,932.18x = 25,578,134.95
  5. Step 5: Solve for x
    x = 25,578,134.95/4,932.18
  6. Step 6: Final answer
    x = 5,185.97

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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.