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Finding the Fourth Proportional to 5,869.20, 8,099.28 and 3,511.20

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Solution

The fourth proportional to 5,869.20, 8,099.28 and 3,511.20 is: 4,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.20 : 8,099.28 = 3,511.20 : x
  2. Step 2: Convert to fraction form
    5,869.20/8,099.28 = 3,511.20/x
  3. Step 3: Cross multiply
    5,869.20x = 8,099.28 × 3,511.20
  4. Step 4: Simplify right side
    5,869.20x = 28,438,191.94
  5. Step 5: Solve for x
    x = 28,438,191.94/5,869.20
  6. Step 6: Final answer
    x = 4,845.33

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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.