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Finding the Fourth Proportional to 3,664.24, 5,496.30 and 890.80

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Solution

The fourth proportional to 3,664.24, 5,496.30 and 890.80 is: 1,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.24 : 5,496.30 = 890.80 : x
  2. Step 2: Convert to fraction form
    3,664.24/5,496.30 = 890.80/x
  3. Step 3: Cross multiply
    3,664.24x = 5,496.30 × 890.80
  4. Step 4: Simplify right side
    3,664.24x = 4,896,090.30
  5. Step 5: Solve for x
    x = 4,896,090.30/3,664.24
  6. Step 6: Final answer
    x = 1,336.18

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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.