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Finding the Fourth Proportional to 6,085.82, 8,399.73 and 3,846.26

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Solution

The fourth proportional to 6,085.82, 8,399.73 and 3,846.26 is: 5,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.82 : 8,399.73 = 3,846.26 : x
  2. Step 2: Convert to fraction form
    6,085.82/8,399.73 = 3,846.26/x
  3. Step 3: Cross multiply
    6,085.82x = 8,399.73 × 3,846.26
  4. Step 4: Simplify right side
    6,085.82x = 32,307,545.51
  5. Step 5: Solve for x
    x = 32,307,545.51/6,085.82
  6. Step 6: Final answer
    x = 5,308.66

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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.