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Finding the Fourth Proportional to 4,612.68, 6,906.06 and 3,825.36

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Solution

The fourth proportional to 4,612.68, 6,906.06 and 3,825.36 is: 5,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.68 : 6,906.06 = 3,825.36 : x
  2. Step 2: Convert to fraction form
    4,612.68/6,906.06 = 3,825.36/x
  3. Step 3: Cross multiply
    4,612.68x = 6,906.06 × 3,825.36
  4. Step 4: Simplify right side
    4,612.68x = 26,418,165.68
  5. Step 5: Solve for x
    x = 26,418,165.68/4,612.68
  6. Step 6: Final answer
    x = 5,727.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.