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Finding the Fourth Proportional to 4,486.25, 6,730.46 and 1,408.25

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Solution

The fourth proportional to 4,486.25, 6,730.46 and 1,408.25 is: 2,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.25 : 6,730.46 = 1,408.25 : x
  2. Step 2: Convert to fraction form
    4,486.25/6,730.46 = 1,408.25/x
  3. Step 3: Cross multiply
    4,486.25x = 6,730.46 × 1,408.25
  4. Step 4: Simplify right side
    4,486.25x = 9,478,163.25
  5. Step 5: Solve for x
    x = 9,478,163.25/4,486.25
  6. Step 6: Final answer
    x = 2,112.71

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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.