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Finding the Fourth Proportional to 3,665.50, 5,058.46 and 2,093.74

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Solution

The fourth proportional to 3,665.50, 5,058.46 and 2,093.74 is: 2,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.50 : 5,058.46 = 2,093.74 : x
  2. Step 2: Convert to fraction form
    3,665.50/5,058.46 = 2,093.74/x
  3. Step 3: Cross multiply
    3,665.50x = 5,058.46 × 2,093.74
  4. Step 4: Simplify right side
    3,665.50x = 10,591,100.04
  5. Step 5: Solve for x
    x = 10,591,100.04/3,665.50
  6. Step 6: Final answer
    x = 2,889.40

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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.