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Finding the Fourth Proportional to 3,664.32, 5,496.47 and 890.97

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Solution

The fourth proportional to 3,664.32, 5,496.47 and 890.97 is: 1,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.32 : 5,496.47 = 890.97 : x
  2. Step 2: Convert to fraction form
    3,664.32/5,496.47 = 890.97/x
  3. Step 3: Cross multiply
    3,664.32x = 5,496.47 × 890.97
  4. Step 4: Simplify right side
    3,664.32x = 4,897,189.88
  5. Step 5: Solve for x
    x = 4,897,189.88/3,664.32
  6. Step 6: Final answer
    x = 1,336.45

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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.