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Finding the Fourth Proportional to 3,566.15, 5,349.24 and 969.09

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Solution

The fourth proportional to 3,566.15, 5,349.24 and 969.09 is: 1,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.15 : 5,349.24 = 969.09 : x
  2. Step 2: Convert to fraction form
    3,566.15/5,349.24 = 969.09/x
  3. Step 3: Cross multiply
    3,566.15x = 5,349.24 × 969.09
  4. Step 4: Simplify right side
    3,566.15x = 5,183,863.40
  5. Step 5: Solve for x
    x = 5,183,863.40/3,566.15
  6. Step 6: Final answer
    x = 1,453.63

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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.