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Finding the Fourth Proportional to 5,874.42, 8,106.24 and 3,221.82

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Solution

The fourth proportional to 5,874.42, 8,106.24 and 3,221.82 is: 4,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.42 : 8,106.24 = 3,221.82 : x
  2. Step 2: Convert to fraction form
    5,874.42/8,106.24 = 3,221.82/x
  3. Step 3: Cross multiply
    5,874.42x = 8,106.24 × 3,221.82
  4. Step 4: Simplify right side
    5,874.42x = 26,116,846.16
  5. Step 5: Solve for x
    x = 26,116,846.16/5,874.42
  6. Step 6: Final answer
    x = 4,445.86

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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.