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Finding the Fourth Proportional to 3,388.56, 5,082.78 and 1,080

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Solution

The fourth proportional to 3,388.56, 5,082.78 and 1,080 is: 1,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.56 : 5,082.78 = 1,080 : x
  2. Step 2: Convert to fraction form
    3,388.56/5,082.78 = 1,080/x
  3. Step 3: Cross multiply
    3,388.56x = 5,082.78 × 1,080
  4. Step 4: Simplify right side
    3,388.56x = 5,489,402.40
  5. Step 5: Solve for x
    x = 5,489,402.40/3,388.56
  6. Step 6: Final answer
    x = 1,619.98

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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.