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Finding the Fourth Proportional to 5,122.86, 7,677.90 and 2,197.77

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Solution

The fourth proportional to 5,122.86, 7,677.90 and 2,197.77 is: 3,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.86 : 7,677.90 = 2,197.77 : x
  2. Step 2: Convert to fraction form
    5,122.86/7,677.90 = 2,197.77/x
  3. Step 3: Cross multiply
    5,122.86x = 7,677.90 × 2,197.77
  4. Step 4: Simplify right side
    5,122.86x = 16,874,258.28
  5. Step 5: Solve for x
    x = 16,874,258.28/5,122.86
  6. Step 6: Final answer
    x = 3,293.91

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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.