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Finding the Fourth Proportional to 3,992.91, 5,989.05 and 1,652.31

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Solution

The fourth proportional to 3,992.91, 5,989.05 and 1,652.31 is: 2,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.91 : 5,989.05 = 1,652.31 : x
  2. Step 2: Convert to fraction form
    3,992.91/5,989.05 = 1,652.31/x
  3. Step 3: Cross multiply
    3,992.91x = 5,989.05 × 1,652.31
  4. Step 4: Simplify right side
    3,992.91x = 9,895,767.21
  5. Step 5: Solve for x
    x = 9,895,767.21/3,992.91
  6. Step 6: Final answer
    x = 2,478.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.