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Finding the Fourth Proportional to 3,733.46, 5,157.41 and 3,396.77

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Solution

The fourth proportional to 3,733.46, 5,157.41 and 3,396.77 is: 4,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.46 : 5,157.41 = 3,396.77 : x
  2. Step 2: Convert to fraction form
    3,733.46/5,157.41 = 3,396.77/x
  3. Step 3: Cross multiply
    3,733.46x = 5,157.41 × 3,396.77
  4. Step 4: Simplify right side
    3,733.46x = 17,518,512.14
  5. Step 5: Solve for x
    x = 17,518,512.14/3,733.46
  6. Step 6: Final answer
    x = 4,692.29

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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.