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Finding the Fourth Proportional to 3,697.82, 5,103.02 and 2,126.82

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Solution

The fourth proportional to 3,697.82, 5,103.02 and 2,126.82 is: 2,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.82 : 5,103.02 = 2,126.82 : x
  2. Step 2: Convert to fraction form
    3,697.82/5,103.02 = 2,126.82/x
  3. Step 3: Cross multiply
    3,697.82x = 5,103.02 × 2,126.82
  4. Step 4: Simplify right side
    3,697.82x = 10,853,194.36
  5. Step 5: Solve for x
    x = 10,853,194.36/3,697.82
  6. Step 6: Final answer
    x = 2,935.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.