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Finding the Fourth Proportional to 5,457.44, 8,193 and 4,375.28

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Solution

The fourth proportional to 5,457.44, 8,193 and 4,375.28 is: 6,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.44 : 8,193 = 4,375.28 : x
  2. Step 2: Convert to fraction form
    5,457.44/8,193 = 4,375.28/x
  3. Step 3: Cross multiply
    5,457.44x = 8,193 × 4,375.28
  4. Step 4: Simplify right side
    5,457.44x = 35,846,669.04
  5. Step 5: Solve for x
    x = 35,846,669.04/5,457.44
  6. Step 6: Final answer
    x = 6,568.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.