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Finding the Fourth Proportional to 4,225.62, 5,824.36 and 3,175.86

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Solution

The fourth proportional to 4,225.62, 5,824.36 and 3,175.86 is: 4,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.62 : 5,824.36 = 3,175.86 : x
  2. Step 2: Convert to fraction form
    4,225.62/5,824.36 = 3,175.86/x
  3. Step 3: Cross multiply
    4,225.62x = 5,824.36 × 3,175.86
  4. Step 4: Simplify right side
    4,225.62x = 18,497,322.83
  5. Step 5: Solve for x
    x = 18,497,322.83/4,225.62
  6. Step 6: Final answer
    x = 4,377.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.