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Finding the Fourth Proportional to 3,658.22, 5,047.81 and 2,166.20

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Solution

The fourth proportional to 3,658.22, 5,047.81 and 2,166.20 is: 2,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.22 : 5,047.81 = 2,166.20 : x
  2. Step 2: Convert to fraction form
    3,658.22/5,047.81 = 2,166.20/x
  3. Step 3: Cross multiply
    3,658.22x = 5,047.81 × 2,166.20
  4. Step 4: Simplify right side
    3,658.22x = 10,934,535.37
  5. Step 5: Solve for x
    x = 10,934,535.37/3,658.22
  6. Step 6: Final answer
    x = 2,989.04

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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.