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Finding the Fourth Proportional to 5,480.34, 8,219.49 and 1,781.47

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Solution

The fourth proportional to 5,480.34, 8,219.49 and 1,781.47 is: 2,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.34 : 8,219.49 = 1,781.47 : x
  2. Step 2: Convert to fraction form
    5,480.34/8,219.49 = 1,781.47/x
  3. Step 3: Cross multiply
    5,480.34x = 8,219.49 × 1,781.47
  4. Step 4: Simplify right side
    5,480.34x = 14,642,774.85
  5. Step 5: Solve for x
    x = 14,642,774.85/5,480.34
  6. Step 6: Final answer
    x = 2,671.87

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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.