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Finding the Fourth Proportional to 5,099.36, 7,649.42 and 2,632.64

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Solution

The fourth proportional to 5,099.36, 7,649.42 and 2,632.64 is: 3,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.36 : 7,649.42 = 2,632.64 : x
  2. Step 2: Convert to fraction form
    5,099.36/7,649.42 = 2,632.64/x
  3. Step 3: Cross multiply
    5,099.36x = 7,649.42 × 2,632.64
  4. Step 4: Simplify right side
    5,099.36x = 20,138,169.07
  5. Step 5: Solve for x
    x = 20,138,169.07/5,099.36
  6. Step 6: Final answer
    x = 3,949.16

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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.