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Finding the Fourth Proportional to 5,495.68, 8,239.74 and 2,572.12

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Solution

The fourth proportional to 5,495.68, 8,239.74 and 2,572.12 is: 3,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.68 : 8,239.74 = 2,572.12 : x
  2. Step 2: Convert to fraction form
    5,495.68/8,239.74 = 2,572.12/x
  3. Step 3: Cross multiply
    5,495.68x = 8,239.74 × 2,572.12
  4. Step 4: Simplify right side
    5,495.68x = 21,193,600.05
  5. Step 5: Solve for x
    x = 21,193,600.05/5,495.68
  6. Step 6: Final answer
    x = 3,856.41

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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.