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Finding the Fourth Proportional to 3,431.96, 4,736.16 and 2,369.94

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Solution

The fourth proportional to 3,431.96, 4,736.16 and 2,369.94 is: 3,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.96 : 4,736.16 = 2,369.94 : x
  2. Step 2: Convert to fraction form
    3,431.96/4,736.16 = 2,369.94/x
  3. Step 3: Cross multiply
    3,431.96x = 4,736.16 × 2,369.94
  4. Step 4: Simplify right side
    3,431.96x = 11,224,415.03
  5. Step 5: Solve for x
    x = 11,224,415.03/3,431.96
  6. Step 6: Final answer
    x = 3,270.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.