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Finding the Fourth Proportional to 3,778.94, 5,697.41 and 3,524.84

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Solution

The fourth proportional to 3,778.94, 5,697.41 and 3,524.84 is: 5,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.94 : 5,697.41 = 3,524.84 : x
  2. Step 2: Convert to fraction form
    3,778.94/5,697.41 = 3,524.84/x
  3. Step 3: Cross multiply
    3,778.94x = 5,697.41 × 3,524.84
  4. Step 4: Simplify right side
    3,778.94x = 20,082,412.55
  5. Step 5: Solve for x
    x = 20,082,412.55/3,778.94
  6. Step 6: Final answer
    x = 5,314.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.