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Finding the Fourth Proportional to 4,144.05, 6,213.24 and 1,953

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Solution

The fourth proportional to 4,144.05, 6,213.24 and 1,953 is: 2,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.05 : 6,213.24 = 1,953 : x
  2. Step 2: Convert to fraction form
    4,144.05/6,213.24 = 1,953/x
  3. Step 3: Cross multiply
    4,144.05x = 6,213.24 × 1,953
  4. Step 4: Simplify right side
    4,144.05x = 12,134,457.72
  5. Step 5: Solve for x
    x = 12,134,457.72/4,144.05
  6. Step 6: Final answer
    x = 2,928.16

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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.