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Finding the Fourth Proportional to 5,093.06, 7,639.60 and 1,806.24

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Solution

The fourth proportional to 5,093.06, 7,639.60 and 1,806.24 is: 2,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.06 : 7,639.60 = 1,806.24 : x
  2. Step 2: Convert to fraction form
    5,093.06/7,639.60 = 1,806.24/x
  3. Step 3: Cross multiply
    5,093.06x = 7,639.60 × 1,806.24
  4. Step 4: Simplify right side
    5,093.06x = 13,798,978.62
  5. Step 5: Solve for x
    x = 13,798,978.62/5,093.06
  6. Step 6: Final answer
    x = 2,709.37

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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.