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Finding the Fourth Proportional to 3,769.70, 5,203.14 and 2,426.22

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Solution

The fourth proportional to 3,769.70, 5,203.14 and 2,426.22 is: 3,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.70 : 5,203.14 = 2,426.22 : x
  2. Step 2: Convert to fraction form
    3,769.70/5,203.14 = 2,426.22/x
  3. Step 3: Cross multiply
    3,769.70x = 5,203.14 × 2,426.22
  4. Step 4: Simplify right side
    3,769.70x = 12,623,962.33
  5. Step 5: Solve for x
    x = 12,623,962.33/3,769.70
  6. Step 6: Final answer
    x = 3,348.80

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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.