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Finding the Fourth Proportional to 5,544, 7,649.57 and 3,243.96

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Solution

The fourth proportional to 5,544, 7,649.57 and 3,243.96 is: 4,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544 : 7,649.57 = 3,243.96 : x
  2. Step 2: Convert to fraction form
    5,544/7,649.57 = 3,243.96/x
  3. Step 3: Cross multiply
    5,544x = 7,649.57 × 3,243.96
  4. Step 4: Simplify right side
    5,544x = 24,814,907.21
  5. Step 5: Solve for x
    x = 24,814,907.21/5,544
  6. Step 6: Final answer
    x = 4,475.99

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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.