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Finding the Fourth Proportional to 3,881.60, 5,804.52 and 2,882.84

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Solution

The fourth proportional to 3,881.60, 5,804.52 and 2,882.84 is: 4,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.60 : 5,804.52 = 2,882.84 : x
  2. Step 2: Convert to fraction form
    3,881.60/5,804.52 = 2,882.84/x
  3. Step 3: Cross multiply
    3,881.60x = 5,804.52 × 2,882.84
  4. Step 4: Simplify right side
    3,881.60x = 16,733,473.41
  5. Step 5: Solve for x
    x = 16,733,473.41/3,881.60
  6. Step 6: Final answer
    x = 4,310.97

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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.