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Finding the Fourth Proportional to 4,963.70, 6,849.69 and 2,973.80

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Solution

The fourth proportional to 4,963.70, 6,849.69 and 2,973.80 is: 4,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.70 : 6,849.69 = 2,973.80 : x
  2. Step 2: Convert to fraction form
    4,963.70/6,849.69 = 2,973.80/x
  3. Step 3: Cross multiply
    4,963.70x = 6,849.69 × 2,973.80
  4. Step 4: Simplify right side
    4,963.70x = 20,369,608.12
  5. Step 5: Solve for x
    x = 20,369,608.12/4,963.70
  6. Step 6: Final answer
    x = 4,103.71

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