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Finding the Fourth Proportional to 3,692.92, 5,097.66 and 2,366.68

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Solution

The fourth proportional to 3,692.92, 5,097.66 and 2,366.68 is: 3,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.92 : 5,097.66 = 2,366.68 : x
  2. Step 2: Convert to fraction form
    3,692.92/5,097.66 = 2,366.68/x
  3. Step 3: Cross multiply
    3,692.92x = 5,097.66 × 2,366.68
  4. Step 4: Simplify right side
    3,692.92x = 12,064,529.97
  5. Step 5: Solve for x
    x = 12,064,529.97/3,692.92
  6. Step 6: Final answer
    x = 3,266.94

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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.