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Finding the Fourth Proportional to 5,741.81, 7,923.80 and 3,189.50

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Solution

The fourth proportional to 5,741.81, 7,923.80 and 3,189.50 is: 4,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.81 : 7,923.80 = 3,189.50 : x
  2. Step 2: Convert to fraction form
    5,741.81/7,923.80 = 3,189.50/x
  3. Step 3: Cross multiply
    5,741.81x = 7,923.80 × 3,189.50
  4. Step 4: Simplify right side
    5,741.81x = 25,272,944.15
  5. Step 5: Solve for x
    x = 25,272,944.15/5,741.81
  6. Step 6: Final answer
    x = 4,401.56

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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.