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Finding the Fourth Proportional to 3,693.86, 5,096.02 and 2,257.49

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Solution

The fourth proportional to 3,693.86, 5,096.02 and 2,257.49 is: 3,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.86 : 5,096.02 = 2,257.49 : x
  2. Step 2: Convert to fraction form
    3,693.86/5,096.02 = 2,257.49/x
  3. Step 3: Cross multiply
    3,693.86x = 5,096.02 × 2,257.49
  4. Step 4: Simplify right side
    3,693.86x = 11,504,214.19
  5. Step 5: Solve for x
    x = 11,504,214.19/3,693.86
  6. Step 6: Final answer
    x = 3,114.42

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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.