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Finding the Fourth Proportional to 5,480.10, 8,219.10 and 1,781.22

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Solution

The fourth proportional to 5,480.10, 8,219.10 and 1,781.22 is: 2,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.10 : 8,219.10 = 1,781.22 : x
  2. Step 2: Convert to fraction form
    5,480.10/8,219.10 = 1,781.22/x
  3. Step 3: Cross multiply
    5,480.10x = 8,219.10 × 1,781.22
  4. Step 4: Simplify right side
    5,480.10x = 14,640,025.30
  5. Step 5: Solve for x
    x = 14,640,025.30/5,480.10
  6. Step 6: Final answer
    x = 2,671.49

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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.