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Finding the Fourth Proportional to 4,092.84, 6,128.22 and 2,140.92

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Solution

The fourth proportional to 4,092.84, 6,128.22 and 2,140.92 is: 3,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.84 : 6,128.22 = 2,140.92 : x
  2. Step 2: Convert to fraction form
    4,092.84/6,128.22 = 2,140.92/x
  3. Step 3: Cross multiply
    4,092.84x = 6,128.22 × 2,140.92
  4. Step 4: Simplify right side
    4,092.84x = 13,120,028.76
  5. Step 5: Solve for x
    x = 13,120,028.76/4,092.84
  6. Step 6: Final answer
    x = 3,205.61

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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.