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Finding the Fourth Proportional to 5,477.81, 8,217.17 and 2,189.11

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Solution

The fourth proportional to 5,477.81, 8,217.17 and 2,189.11 is: 3,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.81 : 8,217.17 = 2,189.11 : x
  2. Step 2: Convert to fraction form
    5,477.81/8,217.17 = 2,189.11/x
  3. Step 3: Cross multiply
    5,477.81x = 8,217.17 × 2,189.11
  4. Step 4: Simplify right side
    5,477.81x = 17,988,289.02
  5. Step 5: Solve for x
    x = 17,988,289.02/5,477.81
  6. Step 6: Final answer
    x = 3,283.85

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