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Finding the Fourth Proportional to 3,449.28, 5,172.24 and 1,140

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Solution

The fourth proportional to 3,449.28, 5,172.24 and 1,140 is: 1,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.28 : 5,172.24 = 1,140 : x
  2. Step 2: Convert to fraction form
    3,449.28/5,172.24 = 1,140/x
  3. Step 3: Cross multiply
    3,449.28x = 5,172.24 × 1,140
  4. Step 4: Simplify right side
    3,449.28x = 5,896,353.60
  5. Step 5: Solve for x
    x = 5,896,353.60/3,449.28
  6. Step 6: Final answer
    x = 1,709.44

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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.