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Finding the Fourth Proportional to 5,967.94, 8,238.06 and 3,977.77

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Solution

The fourth proportional to 5,967.94, 8,238.06 and 3,977.77 is: 5,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.94 : 8,238.06 = 3,977.77 : x
  2. Step 2: Convert to fraction form
    5,967.94/8,238.06 = 3,977.77/x
  3. Step 3: Cross multiply
    5,967.94x = 8,238.06 × 3,977.77
  4. Step 4: Simplify right side
    5,967.94x = 32,769,107.93
  5. Step 5: Solve for x
    x = 32,769,107.93/5,967.94
  6. Step 6: Final answer
    x = 5,490.86

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Why These Related Problems?

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