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Finding the Fourth Proportional to 4,912.64, 6,781.54 and 2,923.38

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Solution

The fourth proportional to 4,912.64, 6,781.54 and 2,923.38 is: 4,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.64 : 6,781.54 = 2,923.38 : x
  2. Step 2: Convert to fraction form
    4,912.64/6,781.54 = 2,923.38/x
  3. Step 3: Cross multiply
    4,912.64x = 6,781.54 × 2,923.38
  4. Step 4: Simplify right side
    4,912.64x = 19,825,018.41
  5. Step 5: Solve for x
    x = 19,825,018.41/4,912.64
  6. Step 6: Final answer
    x = 4,035.51

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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.