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Finding the Fourth Proportional to 6,190.80, 8,544.06 and 3,538.32

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Solution

The fourth proportional to 6,190.80, 8,544.06 and 3,538.32 is: 4,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.80 : 8,544.06 = 3,538.32 : x
  2. Step 2: Convert to fraction form
    6,190.80/8,544.06 = 3,538.32/x
  3. Step 3: Cross multiply
    6,190.80x = 8,544.06 × 3,538.32
  4. Step 4: Simplify right side
    6,190.80x = 30,231,618.38
  5. Step 5: Solve for x
    x = 30,231,618.38/6,190.80
  6. Step 6: Final answer
    x = 4,883.31

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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.