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Finding the Fourth Proportional to 5,941.48, 8,199.08 and 3,922.44

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Solution

The fourth proportional to 5,941.48, 8,199.08 and 3,922.44 is: 5,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.48 : 8,199.08 = 3,922.44 : x
  2. Step 2: Convert to fraction form
    5,941.48/8,199.08 = 3,922.44/x
  3. Step 3: Cross multiply
    5,941.48x = 8,199.08 × 3,922.44
  4. Step 4: Simplify right side
    5,941.48x = 32,160,399.36
  5. Step 5: Solve for x
    x = 32,160,399.36/5,941.48
  6. Step 6: Final answer
    x = 5,412.86

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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.