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Finding the Fourth Proportional to 3,692.92, 5,097.06 and 2,348.27

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Solution

The fourth proportional to 3,692.92, 5,097.06 and 2,348.27 is: 3,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.92 : 5,097.06 = 2,348.27 : x
  2. Step 2: Convert to fraction form
    3,692.92/5,097.06 = 2,348.27/x
  3. Step 3: Cross multiply
    3,692.92x = 5,097.06 × 2,348.27
  4. Step 4: Simplify right side
    3,692.92x = 11,969,279.68
  5. Step 5: Solve for x
    x = 11,969,279.68/3,692.92
  6. Step 6: Final answer
    x = 3,241.14

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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.