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Finding the Fourth Proportional to 5,873.81, 8,106.36 and 3,221.73

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Solution

The fourth proportional to 5,873.81, 8,106.36 and 3,221.73 is: 4,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.81 : 8,106.36 = 3,221.73 : x
  2. Step 2: Convert to fraction form
    5,873.81/8,106.36 = 3,221.73/x
  3. Step 3: Cross multiply
    5,873.81x = 8,106.36 × 3,221.73
  4. Step 4: Simplify right side
    5,873.81x = 26,116,503.20
  5. Step 5: Solve for x
    x = 26,116,503.20/5,873.81
  6. Step 6: Final answer
    x = 4,446.27

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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.