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Finding the Fourth Proportional to 4,143.60, 6,213.74 and 1,803.44

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Solution

The fourth proportional to 4,143.60, 6,213.74 and 1,803.44 is: 2,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.60 : 6,213.74 = 1,803.44 : x
  2. Step 2: Convert to fraction form
    4,143.60/6,213.74 = 1,803.44/x
  3. Step 3: Cross multiply
    4,143.60x = 6,213.74 × 1,803.44
  4. Step 4: Simplify right side
    4,143.60x = 11,206,107.27
  5. Step 5: Solve for x
    x = 11,206,107.27/4,143.60
  6. Step 6: Final answer
    x = 2,704.44

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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.