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Finding the Fourth Proportional to 6,187.36, 8,542.56 and 3,832

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Solution

The fourth proportional to 6,187.36, 8,542.56 and 3,832 is: 5,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.36 : 8,542.56 = 3,832 : x
  2. Step 2: Convert to fraction form
    6,187.36/8,542.56 = 3,832/x
  3. Step 3: Cross multiply
    6,187.36x = 8,542.56 × 3,832
  4. Step 4: Simplify right side
    6,187.36x = 32,735,089.92
  5. Step 5: Solve for x
    x = 32,735,089.92/6,187.36
  6. Step 6: Final answer
    x = 5,290.64

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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.