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Finding the Fourth Proportional to 3,940.52, 5,896.13 and 2,472.80

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Solution

The fourth proportional to 3,940.52, 5,896.13 and 2,472.80 is: 3,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.52 : 5,896.13 = 2,472.80 : x
  2. Step 2: Convert to fraction form
    3,940.52/5,896.13 = 2,472.80/x
  3. Step 3: Cross multiply
    3,940.52x = 5,896.13 × 2,472.80
  4. Step 4: Simplify right side
    3,940.52x = 14,579,908.42
  5. Step 5: Solve for x
    x = 14,579,908.42/3,940.52
  6. Step 6: Final answer
    x = 3,700.00

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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.