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Finding the Fourth Proportional to 5,280.50, 7,920.44 and 1,993.16

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Solution

The fourth proportional to 5,280.50, 7,920.44 and 1,993.16 is: 2,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.50 : 7,920.44 = 1,993.16 : x
  2. Step 2: Convert to fraction form
    5,280.50/7,920.44 = 1,993.16/x
  3. Step 3: Cross multiply
    5,280.50x = 7,920.44 × 1,993.16
  4. Step 4: Simplify right side
    5,280.50x = 15,786,694.22
  5. Step 5: Solve for x
    x = 15,786,694.22/5,280.50
  6. Step 6: Final answer
    x = 2,989.62

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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.