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Finding the Fourth Proportional to 5,011.38, 6,910.97 and 3,738.07

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Solution

The fourth proportional to 5,011.38, 6,910.97 and 3,738.07 is: 5,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.38 : 6,910.97 = 3,738.07 : x
  2. Step 2: Convert to fraction form
    5,011.38/6,910.97 = 3,738.07/x
  3. Step 3: Cross multiply
    5,011.38x = 6,910.97 × 3,738.07
  4. Step 4: Simplify right side
    5,011.38x = 25,833,689.63
  5. Step 5: Solve for x
    x = 25,833,689.63/5,011.38
  6. Step 6: Final answer
    x = 5,155.01

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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.