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Finding the Fourth Proportional to 4,031.68, 5,998.73 and 3,931.24

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Solution

The fourth proportional to 4,031.68, 5,998.73 and 3,931.24 is: 5,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.68 : 5,998.73 = 3,931.24 : x
  2. Step 2: Convert to fraction form
    4,031.68/5,998.73 = 3,931.24/x
  3. Step 3: Cross multiply
    4,031.68x = 5,998.73 × 3,931.24
  4. Step 4: Simplify right side
    4,031.68x = 23,582,417.33
  5. Step 5: Solve for x
    x = 23,582,417.33/4,031.68
  6. Step 6: Final answer
    x = 5,849.29

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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.