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Finding the Fourth Proportional to 5,743.96, 7,926.11 and 3,225.50

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Solution

The fourth proportional to 5,743.96, 7,926.11 and 3,225.50 is: 4,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.96 : 7,926.11 = 3,225.50 : x
  2. Step 2: Convert to fraction form
    5,743.96/7,926.11 = 3,225.50/x
  3. Step 3: Cross multiply
    5,743.96x = 7,926.11 × 3,225.50
  4. Step 4: Simplify right side
    5,743.96x = 25,565,631.86
  5. Step 5: Solve for x
    x = 25,565,631.86/5,743.96
  6. Step 6: Final answer
    x = 4,450.87

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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.