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Finding the Fourth Proportional to 4,181.87, 6,273.74 and 1,408.46

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Solution

The fourth proportional to 4,181.87, 6,273.74 and 1,408.46 is: 2,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.87 : 6,273.74 = 1,408.46 : x
  2. Step 2: Convert to fraction form
    4,181.87/6,273.74 = 1,408.46/x
  3. Step 3: Cross multiply
    4,181.87x = 6,273.74 × 1,408.46
  4. Step 4: Simplify right side
    4,181.87x = 8,836,273.43
  5. Step 5: Solve for x
    x = 8,836,273.43/4,181.87
  6. Step 6: Final answer
    x = 2,113.00

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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.