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Finding the Fourth Proportional to 3,631.68, 5,012 and 2,059.84

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Solution

The fourth proportional to 3,631.68, 5,012 and 2,059.84 is: 2,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.68 : 5,012 = 2,059.84 : x
  2. Step 2: Convert to fraction form
    3,631.68/5,012 = 2,059.84/x
  3. Step 3: Cross multiply
    3,631.68x = 5,012 × 2,059.84
  4. Step 4: Simplify right side
    3,631.68x = 10,323,918.08
  5. Step 5: Solve for x
    x = 10,323,918.08/3,631.68
  6. Step 6: Final answer
    x = 2,842.74

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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.