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Finding the Fourth Proportional to 3,800.67, 5,244.87 and 2,122.20

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Solution

The fourth proportional to 3,800.67, 5,244.87 and 2,122.20 is: 2,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.67 : 5,244.87 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    3,800.67/5,244.87 = 2,122.20/x
  3. Step 3: Cross multiply
    3,800.67x = 5,244.87 × 2,122.20
  4. Step 4: Simplify right side
    3,800.67x = 11,130,663.11
  5. Step 5: Solve for x
    x = 11,130,663.11/3,800.67
  6. Step 6: Final answer
    x = 2,928.61

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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.