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Finding the Fourth Proportional to 3,660.86, 5,051.98 and 1,982.26

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Solution

The fourth proportional to 3,660.86, 5,051.98 and 1,982.26 is: 2,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.86 : 5,051.98 = 1,982.26 : x
  2. Step 2: Convert to fraction form
    3,660.86/5,051.98 = 1,982.26/x
  3. Step 3: Cross multiply
    3,660.86x = 5,051.98 × 1,982.26
  4. Step 4: Simplify right side
    3,660.86x = 10,014,337.87
  5. Step 5: Solve for x
    x = 10,014,337.87/3,660.86
  6. Step 6: Final answer
    x = 2,735.52

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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.