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Finding the Fourth Proportional to 5,777.05, 7,980.23 and 4,467.28

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Solution

The fourth proportional to 5,777.05, 7,980.23 and 4,467.28 is: 6,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.05 : 7,980.23 = 4,467.28 : x
  2. Step 2: Convert to fraction form
    5,777.05/7,980.23 = 4,467.28/x
  3. Step 3: Cross multiply
    5,777.05x = 7,980.23 × 4,467.28
  4. Step 4: Simplify right side
    5,777.05x = 35,649,921.87
  5. Step 5: Solve for x
    x = 35,649,921.87/5,777.05
  6. Step 6: Final answer
    x = 6,170.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.