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Finding the Fourth Proportional to 3,692.70, 5,095.80 and 2,200.59

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Solution

The fourth proportional to 3,692.70, 5,095.80 and 2,200.59 is: 3,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.70 : 5,095.80 = 2,200.59 : x
  2. Step 2: Convert to fraction form
    3,692.70/5,095.80 = 2,200.59/x
  3. Step 3: Cross multiply
    3,692.70x = 5,095.80 × 2,200.59
  4. Step 4: Simplify right side
    3,692.70x = 11,213,766.52
  5. Step 5: Solve for x
    x = 11,213,766.52/3,692.70
  6. Step 6: Final answer
    x = 3,036.74

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