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Finding the Fourth Proportional to 3,730.75, 5,148.23 and 2,137.68

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Solution

The fourth proportional to 3,730.75, 5,148.23 and 2,137.68 is: 2,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.75 : 5,148.23 = 2,137.68 : x
  2. Step 2: Convert to fraction form
    3,730.75/5,148.23 = 2,137.68/x
  3. Step 3: Cross multiply
    3,730.75x = 5,148.23 × 2,137.68
  4. Step 4: Simplify right side
    3,730.75x = 11,005,257.62
  5. Step 5: Solve for x
    x = 11,005,257.62/3,730.75
  6. Step 6: Final answer
    x = 2,949.88

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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.