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Finding the Fourth Proportional to 5,443.42, 8,168.78 and 1,980.67

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Solution

The fourth proportional to 5,443.42, 8,168.78 and 1,980.67 is: 2,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.42 : 8,168.78 = 1,980.67 : x
  2. Step 2: Convert to fraction form
    5,443.42/8,168.78 = 1,980.67/x
  3. Step 3: Cross multiply
    5,443.42x = 8,168.78 × 1,980.67
  4. Step 4: Simplify right side
    5,443.42x = 16,179,657.79
  5. Step 5: Solve for x
    x = 16,179,657.79/5,443.42
  6. Step 6: Final answer
    x = 2,972.33

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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.