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Finding the Fourth Proportional to 5,874.58, 8,106.85 and 3,221.98

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Solution

The fourth proportional to 5,874.58, 8,106.85 and 3,221.98 is: 4,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.58 : 8,106.85 = 3,221.98 : x
  2. Step 2: Convert to fraction form
    5,874.58/8,106.85 = 3,221.98/x
  3. Step 3: Cross multiply
    5,874.58x = 8,106.85 × 3,221.98
  4. Step 4: Simplify right side
    5,874.58x = 26,120,108.56
  5. Step 5: Solve for x
    x = 26,120,108.56/5,874.58
  6. Step 6: Final answer
    x = 4,446.29

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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.