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Finding the Fourth Proportional to 6,504.72, 8,974.92 and 3,852

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Solution

The fourth proportional to 6,504.72, 8,974.92 and 3,852 is: 5,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.72 : 8,974.92 = 3,852 : x
  2. Step 2: Convert to fraction form
    6,504.72/8,974.92 = 3,852/x
  3. Step 3: Cross multiply
    6,504.72x = 8,974.92 × 3,852
  4. Step 4: Simplify right side
    6,504.72x = 34,571,391.84
  5. Step 5: Solve for x
    x = 34,571,391.84/6,504.72
  6. Step 6: Final answer
    x = 5,314.82

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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.