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Finding the Fourth Proportional to 3,772.47, 5,205.76 and 2,093.87

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Solution

The fourth proportional to 3,772.47, 5,205.76 and 2,093.87 is: 2,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.47 : 5,205.76 = 2,093.87 : x
  2. Step 2: Convert to fraction form
    3,772.47/5,205.76 = 2,093.87/x
  3. Step 3: Cross multiply
    3,772.47x = 5,205.76 × 2,093.87
  4. Step 4: Simplify right side
    3,772.47x = 10,900,204.21
  5. Step 5: Solve for x
    x = 10,900,204.21/3,772.47
  6. Step 6: Final answer
    x = 2,889.41

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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.