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Finding the Fourth Proportional to 3,952.74, 5,916.24 and 2,912.33

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Solution

The fourth proportional to 3,952.74, 5,916.24 and 2,912.33 is: 4,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.74 : 5,916.24 = 2,912.33 : x
  2. Step 2: Convert to fraction form
    3,952.74/5,916.24 = 2,912.33/x
  3. Step 3: Cross multiply
    3,952.74x = 5,916.24 × 2,912.33
  4. Step 4: Simplify right side
    3,952.74x = 17,230,013.66
  5. Step 5: Solve for x
    x = 17,230,013.66/3,952.74
  6. Step 6: Final answer
    x = 4,359.01

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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.