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Finding the Fourth Proportional to 6,474.94, 8,936.06 and 4,238.02

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Solution

The fourth proportional to 6,474.94, 8,936.06 and 4,238.02 is: 5,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.94 : 8,936.06 = 4,238.02 : x
  2. Step 2: Convert to fraction form
    6,474.94/8,936.06 = 4,238.02/x
  3. Step 3: Cross multiply
    6,474.94x = 8,936.06 × 4,238.02
  4. Step 4: Simplify right side
    6,474.94x = 37,871,190.98
  5. Step 5: Solve for x
    x = 37,871,190.98/6,474.94
  6. Step 6: Final answer
    x = 5,848.89

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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.