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Finding the Fourth Proportional to 3,692.39, 5,095.63 and 2,099.11

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Solution

The fourth proportional to 3,692.39, 5,095.63 and 2,099.11 is: 2,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.39 : 5,095.63 = 2,099.11 : x
  2. Step 2: Convert to fraction form
    3,692.39/5,095.63 = 2,099.11/x
  3. Step 3: Cross multiply
    3,692.39x = 5,095.63 × 2,099.11
  4. Step 4: Simplify right side
    3,692.39x = 10,696,251.92
  5. Step 5: Solve for x
    x = 10,696,251.92/3,692.39
  6. Step 6: Final answer
    x = 2,896.84

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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.