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Finding the Fourth Proportional to 6,238.58, 8,609.06 and 4,111.52

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Solution

The fourth proportional to 6,238.58, 8,609.06 and 4,111.52 is: 5,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.58 : 8,609.06 = 4,111.52 : x
  2. Step 2: Convert to fraction form
    6,238.58/8,609.06 = 4,111.52/x
  3. Step 3: Cross multiply
    6,238.58x = 8,609.06 × 4,111.52
  4. Step 4: Simplify right side
    6,238.58x = 35,396,322.37
  5. Step 5: Solve for x
    x = 35,396,322.37/6,238.58
  6. Step 6: Final answer
    x = 5,673.78

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