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Finding the Fourth Proportional to 3,454.78, 5,185.24 and 1,812.48

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Solution

The fourth proportional to 3,454.78, 5,185.24 and 1,812.48 is: 2,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.78 : 5,185.24 = 1,812.48 : x
  2. Step 2: Convert to fraction form
    3,454.78/5,185.24 = 1,812.48/x
  3. Step 3: Cross multiply
    3,454.78x = 5,185.24 × 1,812.48
  4. Step 4: Simplify right side
    3,454.78x = 9,398,124.92
  5. Step 5: Solve for x
    x = 9,398,124.92/3,454.78
  6. Step 6: Final answer
    x = 2,720.33

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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.