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Finding the Fourth Proportional to 3,845.70, 5,768.55 and 3,824.10

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Solution

The fourth proportional to 3,845.70, 5,768.55 and 3,824.10 is: 5,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.70 : 5,768.55 = 3,824.10 : x
  2. Step 2: Convert to fraction form
    3,845.70/5,768.55 = 3,824.10/x
  3. Step 3: Cross multiply
    3,845.70x = 5,768.55 × 3,824.10
  4. Step 4: Simplify right side
    3,845.70x = 22,059,512.06
  5. Step 5: Solve for x
    x = 22,059,512.06/3,845.70
  6. Step 6: Final answer
    x = 5,736.15

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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.