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Finding the Fourth Proportional to 5,138.07, 7,086.51 and 3,721.97

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Solution

The fourth proportional to 5,138.07, 7,086.51 and 3,721.97 is: 5,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.07 : 7,086.51 = 3,721.97 : x
  2. Step 2: Convert to fraction form
    5,138.07/7,086.51 = 3,721.97/x
  3. Step 3: Cross multiply
    5,138.07x = 7,086.51 × 3,721.97
  4. Step 4: Simplify right side
    5,138.07x = 26,375,742.19
  5. Step 5: Solve for x
    x = 26,375,742.19/5,138.07
  6. Step 6: Final answer
    x = 5,133.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.