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Finding the Fourth Proportional to 5,348.37, 8,023.01 and 1,399.61

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Solution

The fourth proportional to 5,348.37, 8,023.01 and 1,399.61 is: 2,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.37 : 8,023.01 = 1,399.61 : x
  2. Step 2: Convert to fraction form
    5,348.37/8,023.01 = 1,399.61/x
  3. Step 3: Cross multiply
    5,348.37x = 8,023.01 × 1,399.61
  4. Step 4: Simplify right side
    5,348.37x = 11,229,054.94
  5. Step 5: Solve for x
    x = 11,229,054.94/5,348.37
  6. Step 6: Final answer
    x = 2,099.53

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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.