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Finding the Fourth Proportional to 3,090.50, 4,640.09 and 2,472.22

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Solution

The fourth proportional to 3,090.50, 4,640.09 and 2,472.22 is: 3,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.50 : 4,640.09 = 2,472.22 : x
  2. Step 2: Convert to fraction form
    3,090.50/4,640.09 = 2,472.22/x
  3. Step 3: Cross multiply
    3,090.50x = 4,640.09 × 2,472.22
  4. Step 4: Simplify right side
    3,090.50x = 11,471,316.74
  5. Step 5: Solve for x
    x = 11,471,316.74/3,090.50
  6. Step 6: Final answer
    x = 3,711.79

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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.