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Finding the Fourth Proportional to 3,388.68, 5,083.20 and 1,080

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Solution

The fourth proportional to 3,388.68, 5,083.20 and 1,080 is: 1,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.68 : 5,083.20 = 1,080 : x
  2. Step 2: Convert to fraction form
    3,388.68/5,083.20 = 1,080/x
  3. Step 3: Cross multiply
    3,388.68x = 5,083.20 × 1,080
  4. Step 4: Simplify right side
    3,388.68x = 5,489,856
  5. Step 5: Solve for x
    x = 5,489,856/3,388.68
  6. Step 6: Final answer
    x = 1,620.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.