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Finding the Fourth Proportional to 3,846.98, 5,309.34 and 2,168.75

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Solution

The fourth proportional to 3,846.98, 5,309.34 and 2,168.75 is: 2,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.98 : 5,309.34 = 2,168.75 : x
  2. Step 2: Convert to fraction form
    3,846.98/5,309.34 = 2,168.75/x
  3. Step 3: Cross multiply
    3,846.98x = 5,309.34 × 2,168.75
  4. Step 4: Simplify right side
    3,846.98x = 11,514,631.13
  5. Step 5: Solve for x
    x = 11,514,631.13/3,846.98
  6. Step 6: Final answer
    x = 2,993.16

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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.