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Finding the Fourth Proportional to 5,796.72, 8,696.16 and 2,099.34

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Solution

The fourth proportional to 5,796.72, 8,696.16 and 2,099.34 is: 3,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.72 : 8,696.16 = 2,099.34 : x
  2. Step 2: Convert to fraction form
    5,796.72/8,696.16 = 2,099.34/x
  3. Step 3: Cross multiply
    5,796.72x = 8,696.16 × 2,099.34
  4. Step 4: Simplify right side
    5,796.72x = 18,256,196.53
  5. Step 5: Solve for x
    x = 18,256,196.53/5,796.72
  6. Step 6: Final answer
    x = 3,149.40

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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.