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Finding the Fourth Proportional to 5,977.27, 8,944.98 and 4,218.22

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Solution

The fourth proportional to 5,977.27, 8,944.98 and 4,218.22 is: 6,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.27 : 8,944.98 = 4,218.22 : x
  2. Step 2: Convert to fraction form
    5,977.27/8,944.98 = 4,218.22/x
  3. Step 3: Cross multiply
    5,977.27x = 8,944.98 × 4,218.22
  4. Step 4: Simplify right side
    5,977.27x = 37,731,893.54
  5. Step 5: Solve for x
    x = 37,731,893.54/5,977.27
  6. Step 6: Final answer
    x = 6,312.56

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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.