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Finding the Fourth Proportional to 4,905.09, 6,772.46 and 3,768.84

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Solution

The fourth proportional to 4,905.09, 6,772.46 and 3,768.84 is: 5,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.09 : 6,772.46 = 3,768.84 : x
  2. Step 2: Convert to fraction form
    4,905.09/6,772.46 = 3,768.84/x
  3. Step 3: Cross multiply
    4,905.09x = 6,772.46 × 3,768.84
  4. Step 4: Simplify right side
    4,905.09x = 25,524,299.30
  5. Step 5: Solve for x
    x = 25,524,299.30/4,905.09
  6. Step 6: Final answer
    x = 5,203.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.