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Finding the Fourth Proportional to 5,099.22, 7,649.99 and 1,812.30

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Solution

The fourth proportional to 5,099.22, 7,649.99 and 1,812.30 is: 2,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.22 : 7,649.99 = 1,812.30 : x
  2. Step 2: Convert to fraction form
    5,099.22/7,649.99 = 1,812.30/x
  3. Step 3: Cross multiply
    5,099.22x = 7,649.99 × 1,812.30
  4. Step 4: Simplify right side
    5,099.22x = 13,864,067.82
  5. Step 5: Solve for x
    x = 13,864,067.82/5,099.22
  6. Step 6: Final answer
    x = 2,718.86

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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.