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Finding the Fourth Proportional to 3,906.25, 5,853.82 and 3,024.64

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Solution

The fourth proportional to 3,906.25, 5,853.82 and 3,024.64 is: 4,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.25 : 5,853.82 = 3,024.64 : x
  2. Step 2: Convert to fraction form
    3,906.25/5,853.82 = 3,024.64/x
  3. Step 3: Cross multiply
    3,906.25x = 5,853.82 × 3,024.64
  4. Step 4: Simplify right side
    3,906.25x = 17,705,698.12
  5. Step 5: Solve for x
    x = 17,705,698.12/3,906.25
  6. Step 6: Final answer
    x = 4,532.66

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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.