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Finding the Fourth Proportional to 3,523.39, 5,284.81 and 926.26

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Solution

The fourth proportional to 3,523.39, 5,284.81 and 926.26 is: 1,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.39 : 5,284.81 = 926.26 : x
  2. Step 2: Convert to fraction form
    3,523.39/5,284.81 = 926.26/x
  3. Step 3: Cross multiply
    3,523.39x = 5,284.81 × 926.26
  4. Step 4: Simplify right side
    3,523.39x = 4,895,096.06
  5. Step 5: Solve for x
    x = 4,895,096.06/3,523.39
  6. Step 6: Final answer
    x = 1,389.32

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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.