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Finding the Fourth Proportional to 5,003.12, 7,497 and 1,923.44

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Solution

The fourth proportional to 5,003.12, 7,497 and 1,923.44 is: 2,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.12 : 7,497 = 1,923.44 : x
  2. Step 2: Convert to fraction form
    5,003.12/7,497 = 1,923.44/x
  3. Step 3: Cross multiply
    5,003.12x = 7,497 × 1,923.44
  4. Step 4: Simplify right side
    5,003.12x = 14,420,029.68
  5. Step 5: Solve for x
    x = 14,420,029.68/5,003.12
  6. Step 6: Final answer
    x = 2,882.21

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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.