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Finding the Fourth Proportional to 3,172.58, 4,375.83 and 2,333

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Solution

The fourth proportional to 3,172.58, 4,375.83 and 2,333 is: 3,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.58 : 4,375.83 = 2,333 : x
  2. Step 2: Convert to fraction form
    3,172.58/4,375.83 = 2,333/x
  3. Step 3: Cross multiply
    3,172.58x = 4,375.83 × 2,333
  4. Step 4: Simplify right side
    3,172.58x = 10,208,811.39
  5. Step 5: Solve for x
    x = 10,208,811.39/3,172.58
  6. Step 6: Final answer
    x = 3,217.83

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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.