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Finding the Fourth Proportional to 3,772.47, 5,662.23 and 1,924.86

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Solution

The fourth proportional to 3,772.47, 5,662.23 and 1,924.86 is: 2,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.47 : 5,662.23 = 1,924.86 : x
  2. Step 2: Convert to fraction form
    3,772.47/5,662.23 = 1,924.86/x
  3. Step 3: Cross multiply
    3,772.47x = 5,662.23 × 1,924.86
  4. Step 4: Simplify right side
    3,772.47x = 10,899,000.04
  5. Step 5: Solve for x
    x = 10,899,000.04/3,772.47
  6. Step 6: Final answer
    x = 2,889.09

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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.