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Finding the Fourth Proportional to 3,896.80, 5,372 and 2,403.72

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Solution

The fourth proportional to 3,896.80, 5,372 and 2,403.72 is: 3,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.80 : 5,372 = 2,403.72 : x
  2. Step 2: Convert to fraction form
    3,896.80/5,372 = 2,403.72/x
  3. Step 3: Cross multiply
    3,896.80x = 5,372 × 2,403.72
  4. Step 4: Simplify right side
    3,896.80x = 12,912,783.84
  5. Step 5: Solve for x
    x = 12,912,783.84/3,896.80
  6. Step 6: Final answer
    x = 3,313.69

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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.