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Finding the Fourth Proportional to 5,738.61, 7,919.34 and 3,186.54

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Solution

The fourth proportional to 5,738.61, 7,919.34 and 3,186.54 is: 4,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.61 : 7,919.34 = 3,186.54 : x
  2. Step 2: Convert to fraction form
    5,738.61/7,919.34 = 3,186.54/x
  3. Step 3: Cross multiply
    5,738.61x = 7,919.34 × 3,186.54
  4. Step 4: Simplify right side
    5,738.61x = 25,235,293.68
  5. Step 5: Solve for x
    x = 25,235,293.68/5,738.61
  6. Step 6: Final answer
    x = 4,397.46

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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.