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Finding the Fourth Proportional to 4,796.64, 6,619.08 and 2,806.80

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Solution

The fourth proportional to 4,796.64, 6,619.08 and 2,806.80 is: 3,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.64 : 6,619.08 = 2,806.80 : x
  2. Step 2: Convert to fraction form
    4,796.64/6,619.08 = 2,806.80/x
  3. Step 3: Cross multiply
    4,796.64x = 6,619.08 × 2,806.80
  4. Step 4: Simplify right side
    4,796.64x = 18,578,433.74
  5. Step 5: Solve for x
    x = 18,578,433.74/4,796.64
  6. Step 6: Final answer
    x = 3,873.22

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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.