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Finding the Fourth Proportional to 3,632.26, 5,448.40 and 896.26

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Solution

The fourth proportional to 3,632.26, 5,448.40 and 896.26 is: 1,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.26 : 5,448.40 = 896.26 : x
  2. Step 2: Convert to fraction form
    3,632.26/5,448.40 = 896.26/x
  3. Step 3: Cross multiply
    3,632.26x = 5,448.40 × 896.26
  4. Step 4: Simplify right side
    3,632.26x = 4,883,182.98
  5. Step 5: Solve for x
    x = 4,883,182.98/3,632.26
  6. Step 6: Final answer
    x = 1,344.39

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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.