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Finding the Fourth Proportional to 3,697.63, 5,546.81 and 1,822.40

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Solution

The fourth proportional to 3,697.63, 5,546.81 and 1,822.40 is: 2,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.63 : 5,546.81 = 1,822.40 : x
  2. Step 2: Convert to fraction form
    3,697.63/5,546.81 = 1,822.40/x
  3. Step 3: Cross multiply
    3,697.63x = 5,546.81 × 1,822.40
  4. Step 4: Simplify right side
    3,697.63x = 10,108,504.17
  5. Step 5: Solve for x
    x = 10,108,504.17/3,697.63
  6. Step 6: Final answer
    x = 2,733.78

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Why These Related Problems?

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