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Finding the Fourth Proportional to 3,768.96, 5,196.16 and 2,369.28

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Solution

The fourth proportional to 3,768.96, 5,196.16 and 2,369.28 is: 3,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.96 : 5,196.16 = 2,369.28 : x
  2. Step 2: Convert to fraction form
    3,768.96/5,196.16 = 2,369.28/x
  3. Step 3: Cross multiply
    3,768.96x = 5,196.16 × 2,369.28
  4. Step 4: Simplify right side
    3,768.96x = 12,311,157.96
  5. Step 5: Solve for x
    x = 12,311,157.96/3,768.96
  6. Step 6: Final answer
    x = 3,266.46

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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.