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Finding the Fourth Proportional to 3,709.44, 5,126.22 and 3,044.97

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Solution

The fourth proportional to 3,709.44, 5,126.22 and 3,044.97 is: 4,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.44 : 5,126.22 = 3,044.97 : x
  2. Step 2: Convert to fraction form
    3,709.44/5,126.22 = 3,044.97/x
  3. Step 3: Cross multiply
    3,709.44x = 5,126.22 × 3,044.97
  4. Step 4: Simplify right side
    3,709.44x = 15,609,186.11
  5. Step 5: Solve for x
    x = 15,609,186.11/3,709.44
  6. Step 6: Final answer
    x = 4,207.96

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1.5x scale

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.