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Finding the Fourth Proportional to 4,031.81, 5,998.92 and 3,931.37

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Solution

The fourth proportional to 4,031.81, 5,998.92 and 3,931.37 is: 5,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.81 : 5,998.92 = 3,931.37 : x
  2. Step 2: Convert to fraction form
    4,031.81/5,998.92 = 3,931.37/x
  3. Step 3: Cross multiply
    4,031.81x = 5,998.92 × 3,931.37
  4. Step 4: Simplify right side
    4,031.81x = 23,583,944.13
  5. Step 5: Solve for x
    x = 23,583,944.13/4,031.81
  6. Step 6: Final answer
    x = 5,849.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.