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Finding the Fourth Proportional to 3,660.83, 5,051.91 and 1,982.19

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Solution

The fourth proportional to 3,660.83, 5,051.91 and 1,982.19 is: 2,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.83 : 5,051.91 = 1,982.19 : x
  2. Step 2: Convert to fraction form
    3,660.83/5,051.91 = 1,982.19/x
  3. Step 3: Cross multiply
    3,660.83x = 5,051.91 × 1,982.19
  4. Step 4: Simplify right side
    3,660.83x = 10,013,871.86
  5. Step 5: Solve for x
    x = 10,013,871.86/3,660.83
  6. Step 6: Final answer
    x = 2,735.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.