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Finding the Fourth Proportional to 4,963.10, 7,441.82 and 2,039

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Solution

The fourth proportional to 4,963.10, 7,441.82 and 2,039 is: 3,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.10 : 7,441.82 = 2,039 : x
  2. Step 2: Convert to fraction form
    4,963.10/7,441.82 = 2,039/x
  3. Step 3: Cross multiply
    4,963.10x = 7,441.82 × 2,039
  4. Step 4: Simplify right side
    4,963.10x = 15,173,860.79
  5. Step 5: Solve for x
    x = 15,173,860.79/4,963.10
  6. Step 6: Final answer
    x = 3,057.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.