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Finding the Fourth Proportional to 5,874.50, 8,106.80 and 3,221.91

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Solution

The fourth proportional to 5,874.50, 8,106.80 and 3,221.91 is: 4,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.50 : 8,106.80 = 3,221.91 : x
  2. Step 2: Convert to fraction form
    5,874.50/8,106.80 = 3,221.91/x
  3. Step 3: Cross multiply
    5,874.50x = 8,106.80 × 3,221.91
  4. Step 4: Simplify right side
    5,874.50x = 26,119,363.88
  5. Step 5: Solve for x
    x = 26,119,363.88/5,874.50
  6. Step 6: Final answer
    x = 4,446.23

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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.