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Finding the Fourth Proportional to 3,631.84, 5,012 and 2,059.60

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Solution

The fourth proportional to 3,631.84, 5,012 and 2,059.60 is: 2,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.84 : 5,012 = 2,059.60 : x
  2. Step 2: Convert to fraction form
    3,631.84/5,012 = 2,059.60/x
  3. Step 3: Cross multiply
    3,631.84x = 5,012 × 2,059.60
  4. Step 4: Simplify right side
    3,631.84x = 10,322,715.20
  5. Step 5: Solve for x
    x = 10,322,715.20/3,631.84
  6. Step 6: Final answer
    x = 2,842.28

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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.