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Finding the Fourth Proportional to 5,741.08, 7,922.46 and 3,383.32

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Solution

The fourth proportional to 5,741.08, 7,922.46 and 3,383.32 is: 4,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.08 : 7,922.46 = 3,383.32 : x
  2. Step 2: Convert to fraction form
    5,741.08/7,922.46 = 3,383.32/x
  3. Step 3: Cross multiply
    5,741.08x = 7,922.46 × 3,383.32
  4. Step 4: Simplify right side
    5,741.08x = 26,804,217.37
  5. Step 5: Solve for x
    x = 26,804,217.37/5,741.08
  6. Step 6: Final answer
    x = 4,668.85

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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.