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Finding the Fourth Proportional to 4,924.26, 6,796.12 and 2,828.40

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Solution

The fourth proportional to 4,924.26, 6,796.12 and 2,828.40 is: 3,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.26 : 6,796.12 = 2,828.40 : x
  2. Step 2: Convert to fraction form
    4,924.26/6,796.12 = 2,828.40/x
  3. Step 3: Cross multiply
    4,924.26x = 6,796.12 × 2,828.40
  4. Step 4: Simplify right side
    4,924.26x = 19,222,145.81
  5. Step 5: Solve for x
    x = 19,222,145.81/4,924.26
  6. Step 6: Final answer
    x = 3,903.56

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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.