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Finding the Fourth Proportional to 3,669.55, 5,504.26 and 896.23

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Solution

The fourth proportional to 3,669.55, 5,504.26 and 896.23 is: 1,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.55 : 5,504.26 = 896.23 : x
  2. Step 2: Convert to fraction form
    3,669.55/5,504.26 = 896.23/x
  3. Step 3: Cross multiply
    3,669.55x = 5,504.26 × 896.23
  4. Step 4: Simplify right side
    3,669.55x = 4,933,082.94
  5. Step 5: Solve for x
    x = 4,933,082.94/3,669.55
  6. Step 6: Final answer
    x = 1,344.33

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Double scale
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Similar ratio
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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.