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Finding the Fourth Proportional to 4,912.88, 6,777.96 and 2,923.52

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Solution

The fourth proportional to 4,912.88, 6,777.96 and 2,923.52 is: 4,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.88 : 6,777.96 = 2,923.52 : x
  2. Step 2: Convert to fraction form
    4,912.88/6,777.96 = 2,923.52/x
  3. Step 3: Cross multiply
    4,912.88x = 6,777.96 × 2,923.52
  4. Step 4: Simplify right side
    4,912.88x = 19,815,501.62
  5. Step 5: Solve for x
    x = 19,815,501.62/4,912.88
  6. Step 6: Final answer
    x = 4,033.38

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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.