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Finding the Fourth Proportional to 3,796.92, 5,695.67 and 1,606.28

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Solution

The fourth proportional to 3,796.92, 5,695.67 and 1,606.28 is: 2,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.92 : 5,695.67 = 1,606.28 : x
  2. Step 2: Convert to fraction form
    3,796.92/5,695.67 = 1,606.28/x
  3. Step 3: Cross multiply
    3,796.92x = 5,695.67 × 1,606.28
  4. Step 4: Simplify right side
    3,796.92x = 9,148,816.34
  5. Step 5: Solve for x
    x = 9,148,816.34/3,796.92
  6. Step 6: Final answer
    x = 2,409.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.