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Finding the Fourth Proportional to 3,730.80, 5,150.16 and 2,238.96

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Solution

The fourth proportional to 3,730.80, 5,150.16 and 2,238.96 is: 3,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.80 : 5,150.16 = 2,238.96 : x
  2. Step 2: Convert to fraction form
    3,730.80/5,150.16 = 2,238.96/x
  3. Step 3: Cross multiply
    3,730.80x = 5,150.16 × 2,238.96
  4. Step 4: Simplify right side
    3,730.80x = 11,531,002.23
  5. Step 5: Solve for x
    x = 11,531,002.23/3,730.80
  6. Step 6: Final answer
    x = 3,090.76

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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.