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Finding the Fourth Proportional to 3,760.02, 5,650.97 and 1,813.59

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Solution

The fourth proportional to 3,760.02, 5,650.97 and 1,813.59 is: 2,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.02 : 5,650.97 = 1,813.59 : x
  2. Step 2: Convert to fraction form
    3,760.02/5,650.97 = 1,813.59/x
  3. Step 3: Cross multiply
    3,760.02x = 5,650.97 × 1,813.59
  4. Step 4: Simplify right side
    3,760.02x = 10,248,533.61
  5. Step 5: Solve for x
    x = 10,248,533.61/3,760.02
  6. Step 6: Final answer
    x = 2,725.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.