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Finding the Fourth Proportional to 5,741.60, 7,923.16 and 3,383.88

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Solution

The fourth proportional to 5,741.60, 7,923.16 and 3,383.88 is: 4,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.60 : 7,923.16 = 3,383.88 : x
  2. Step 2: Convert to fraction form
    5,741.60/7,923.16 = 3,383.88/x
  3. Step 3: Cross multiply
    5,741.60x = 7,923.16 × 3,383.88
  4. Step 4: Simplify right side
    5,741.60x = 26,811,022.66
  5. Step 5: Solve for x
    x = 26,811,022.66/5,741.60
  6. Step 6: Final answer
    x = 4,669.61

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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.