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Finding the Fourth Proportional to 3,731.80, 5,150.54 and 2,138.52

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Solution

The fourth proportional to 3,731.80, 5,150.54 and 2,138.52 is: 2,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.80 : 5,150.54 = 2,138.52 : x
  2. Step 2: Convert to fraction form
    3,731.80/5,150.54 = 2,138.52/x
  3. Step 3: Cross multiply
    3,731.80x = 5,150.54 × 2,138.52
  4. Step 4: Simplify right side
    3,731.80x = 11,014,532.80
  5. Step 5: Solve for x
    x = 11,014,532.80/3,731.80
  6. Step 6: Final answer
    x = 2,951.53

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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.