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Finding the Fourth Proportional to 5,872.33, 8,099.17 and 5,200.84

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Solution

The fourth proportional to 5,872.33, 8,099.17 and 5,200.84 is: 7,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.33 : 8,099.17 = 5,200.84 : x
  2. Step 2: Convert to fraction form
    5,872.33/8,099.17 = 5,200.84/x
  3. Step 3: Cross multiply
    5,872.33x = 8,099.17 × 5,200.84
  4. Step 4: Simplify right side
    5,872.33x = 42,122,446.81
  5. Step 5: Solve for x
    x = 42,122,446.81/5,872.33
  6. Step 6: Final answer
    x = 7,173.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.