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Finding the Fourth Proportional to 5,874.36, 8,106.60 and 3,221.76

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Solution

The fourth proportional to 5,874.36, 8,106.60 and 3,221.76 is: 4,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.36 : 8,106.60 = 3,221.76 : x
  2. Step 2: Convert to fraction form
    5,874.36/8,106.60 = 3,221.76/x
  3. Step 3: Cross multiply
    5,874.36x = 8,106.60 × 3,221.76
  4. Step 4: Simplify right side
    5,874.36x = 26,117,519.62
  5. Step 5: Solve for x
    x = 26,117,519.62/5,874.36
  6. Step 6: Final answer
    x = 4,446.02

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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.