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Finding the Fourth Proportional to 5,873.82, 8,105.80 and 3,221.08

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Solution

The fourth proportional to 5,873.82, 8,105.80 and 3,221.08 is: 4,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.82 : 8,105.80 = 3,221.08 : x
  2. Step 2: Convert to fraction form
    5,873.82/8,105.80 = 3,221.08/x
  3. Step 3: Cross multiply
    5,873.82x = 8,105.80 × 3,221.08
  4. Step 4: Simplify right side
    5,873.82x = 26,109,430.26
  5. Step 5: Solve for x
    x = 26,109,430.26/5,873.82
  6. Step 6: Final answer
    x = 4,445.05

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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.