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Finding the Fourth Proportional to 5,942.60, 8,201.65 and 3,424.22

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Solution

The fourth proportional to 5,942.60, 8,201.65 and 3,424.22 is: 4,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.60 : 8,201.65 = 3,424.22 : x
  2. Step 2: Convert to fraction form
    5,942.60/8,201.65 = 3,424.22/x
  3. Step 3: Cross multiply
    5,942.60x = 8,201.65 × 3,424.22
  4. Step 4: Simplify right side
    5,942.60x = 28,084,265.91
  5. Step 5: Solve for x
    x = 28,084,265.91/5,942.60
  6. Step 6: Final answer
    x = 4,725.93

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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.