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Finding the Fourth Proportional to 3,546.44, 5,293.70 and 3,289.44

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Solution

The fourth proportional to 3,546.44, 5,293.70 and 3,289.44 is: 4,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.44 : 5,293.70 = 3,289.44 : x
  2. Step 2: Convert to fraction form
    3,546.44/5,293.70 = 3,289.44/x
  3. Step 3: Cross multiply
    3,546.44x = 5,293.70 × 3,289.44
  4. Step 4: Simplify right side
    3,546.44x = 17,413,308.53
  5. Step 5: Solve for x
    x = 17,413,308.53/3,546.44
  6. Step 6: Final answer
    x = 4,910.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.