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Finding the Fourth Proportional to 4,965.31, 7,437.02 and 3,314.12

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Solution

The fourth proportional to 4,965.31, 7,437.02 and 3,314.12 is: 4,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.31 : 7,437.02 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    4,965.31/7,437.02 = 3,314.12/x
  3. Step 3: Cross multiply
    4,965.31x = 7,437.02 × 3,314.12
  4. Step 4: Simplify right side
    4,965.31x = 24,647,176.72
  5. Step 5: Solve for x
    x = 24,647,176.72/4,965.31
  6. Step 6: Final answer
    x = 4,963.88

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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.