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Finding the Fourth Proportional to 5,375.46, 8,066.42 and 2,297.46

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Solution

The fourth proportional to 5,375.46, 8,066.42 and 2,297.46 is: 3,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.46 : 8,066.42 = 2,297.46 : x
  2. Step 2: Convert to fraction form
    5,375.46/8,066.42 = 2,297.46/x
  3. Step 3: Cross multiply
    5,375.46x = 8,066.42 × 2,297.46
  4. Step 4: Simplify right side
    5,375.46x = 18,532,277.29
  5. Step 5: Solve for x
    x = 18,532,277.29/5,375.46
  6. Step 6: Final answer
    x = 3,447.57

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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.