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Finding the Fourth Proportional to 5,741.76, 7,923.70 and 3,224.42

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Solution

The fourth proportional to 5,741.76, 7,923.70 and 3,224.42 is: 4,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.76 : 7,923.70 = 3,224.42 : x
  2. Step 2: Convert to fraction form
    5,741.76/7,923.70 = 3,224.42/x
  3. Step 3: Cross multiply
    5,741.76x = 7,923.70 × 3,224.42
  4. Step 4: Simplify right side
    5,741.76x = 25,549,336.75
  5. Step 5: Solve for x
    x = 25,549,336.75/5,741.76
  6. Step 6: Final answer
    x = 4,449.74

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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.