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Finding the Fourth Proportional to 5,977.13, 8,240.85 and 4,086

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Solution

The fourth proportional to 5,977.13, 8,240.85 and 4,086 is: 5,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.13 : 8,240.85 = 4,086 : x
  2. Step 2: Convert to fraction form
    5,977.13/8,240.85 = 4,086/x
  3. Step 3: Cross multiply
    5,977.13x = 8,240.85 × 4,086
  4. Step 4: Simplify right side
    5,977.13x = 33,672,113.10
  5. Step 5: Solve for x
    x = 33,672,113.10/5,977.13
  6. Step 6: Final answer
    x = 5,633.50

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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.