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Finding the Fourth Proportional to 4,809.20, 6,635.25 and 4,650.64

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Solution

The fourth proportional to 4,809.20, 6,635.25 and 4,650.64 is: 6,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.20 : 6,635.25 = 4,650.64 : x
  2. Step 2: Convert to fraction form
    4,809.20/6,635.25 = 4,650.64/x
  3. Step 3: Cross multiply
    4,809.20x = 6,635.25 × 4,650.64
  4. Step 4: Simplify right side
    4,809.20x = 30,858,179.80
  5. Step 5: Solve for x
    x = 30,858,179.80/4,809.20
  6. Step 6: Final answer
    x = 6,416.49

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