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Finding the Fourth Proportional to 5,743.64, 7,926.12 and 3,225.76

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Solution

The fourth proportional to 5,743.64, 7,926.12 and 3,225.76 is: 4,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.64 : 7,926.12 = 3,225.76 : x
  2. Step 2: Convert to fraction form
    5,743.64/7,926.12 = 3,225.76/x
  3. Step 3: Cross multiply
    5,743.64x = 7,926.12 × 3,225.76
  4. Step 4: Simplify right side
    5,743.64x = 25,567,760.85
  5. Step 5: Solve for x
    x = 25,567,760.85/5,743.64
  6. Step 6: Final answer
    x = 4,451.49

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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.