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Finding the Fourth Proportional to 5,054.44, 7,569 and 3,199.96

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Solution

The fourth proportional to 5,054.44, 7,569 and 3,199.96 is: 4,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.44 : 7,569 = 3,199.96 : x
  2. Step 2: Convert to fraction form
    5,054.44/7,569 = 3,199.96/x
  3. Step 3: Cross multiply
    5,054.44x = 7,569 × 3,199.96
  4. Step 4: Simplify right side
    5,054.44x = 24,220,497.24
  5. Step 5: Solve for x
    x = 24,220,497.24/5,054.44
  6. Step 6: Final answer
    x = 4,791.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.