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Finding the Fourth Proportional to 3,890.77, 5,369.22 and 2,122.40

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Solution

The fourth proportional to 3,890.77, 5,369.22 and 2,122.40 is: 2,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.77 : 5,369.22 = 2,122.40 : x
  2. Step 2: Convert to fraction form
    3,890.77/5,369.22 = 2,122.40/x
  3. Step 3: Cross multiply
    3,890.77x = 5,369.22 × 2,122.40
  4. Step 4: Simplify right side
    3,890.77x = 11,395,645.95
  5. Step 5: Solve for x
    x = 11,395,645.95/3,890.77
  6. Step 6: Final answer
    x = 2,928.89

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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.