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Finding the Fourth Proportional to 5,478.92, 8,219.67 and 1,781.15

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Solution

The fourth proportional to 5,478.92, 8,219.67 and 1,781.15 is: 2,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.92 : 8,219.67 = 1,781.15 : x
  2. Step 2: Convert to fraction form
    5,478.92/8,219.67 = 1,781.15/x
  3. Step 3: Cross multiply
    5,478.92x = 8,219.67 × 1,781.15
  4. Step 4: Simplify right side
    5,478.92x = 14,640,465.22
  5. Step 5: Solve for x
    x = 14,640,465.22/5,478.92
  6. Step 6: Final answer
    x = 2,672.14

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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.