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Finding the Fourth Proportional to 3,519.54, 5,280.22 and 1,328.29

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Solution

The fourth proportional to 3,519.54, 5,280.22 and 1,328.29 is: 1,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.54 : 5,280.22 = 1,328.29 : x
  2. Step 2: Convert to fraction form
    3,519.54/5,280.22 = 1,328.29/x
  3. Step 3: Cross multiply
    3,519.54x = 5,280.22 × 1,328.29
  4. Step 4: Simplify right side
    3,519.54x = 7,013,663.42
  5. Step 5: Solve for x
    x = 7,013,663.42/3,519.54
  6. Step 6: Final answer
    x = 1,992.78

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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.