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Finding the Fourth Proportional to 3,692.07, 5,093.64 and 2,365.56

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Solution

The fourth proportional to 3,692.07, 5,093.64 and 2,365.56 is: 3,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.07 : 5,093.64 = 2,365.56 : x
  2. Step 2: Convert to fraction form
    3,692.07/5,093.64 = 2,365.56/x
  3. Step 3: Cross multiply
    3,692.07x = 5,093.64 × 2,365.56
  4. Step 4: Simplify right side
    3,692.07x = 12,049,311.04
  5. Step 5: Solve for x
    x = 12,049,311.04/3,692.07
  6. Step 6: Final answer
    x = 3,263.57

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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.