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Finding the Fourth Proportional to 3,682.76, 5,084.09 and 2,841.57

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Solution

The fourth proportional to 3,682.76, 5,084.09 and 2,841.57 is: 3,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.76 : 5,084.09 = 2,841.57 : x
  2. Step 2: Convert to fraction form
    3,682.76/5,084.09 = 2,841.57/x
  3. Step 3: Cross multiply
    3,682.76x = 5,084.09 × 2,841.57
  4. Step 4: Simplify right side
    3,682.76x = 14,446,783.41
  5. Step 5: Solve for x
    x = 14,446,783.41/3,682.76
  6. Step 6: Final answer
    x = 3,922.82

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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.