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Finding the Fourth Proportional to 5,443.06, 8,168.22 and 1,980.31

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Solution

The fourth proportional to 5,443.06, 8,168.22 and 1,980.31 is: 2,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.06 : 8,168.22 = 1,980.31 : x
  2. Step 2: Convert to fraction form
    5,443.06/8,168.22 = 1,980.31/x
  3. Step 3: Cross multiply
    5,443.06x = 8,168.22 × 1,980.31
  4. Step 4: Simplify right side
    5,443.06x = 16,175,587.33
  5. Step 5: Solve for x
    x = 16,175,587.33/5,443.06
  6. Step 6: Final answer
    x = 2,971.78

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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.