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Finding the Fourth Proportional to 3,415.92, 5,124.42 and 1,224.60

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Solution

The fourth proportional to 3,415.92, 5,124.42 and 1,224.60 is: 1,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.92 : 5,124.42 = 1,224.60 : x
  2. Step 2: Convert to fraction form
    3,415.92/5,124.42 = 1,224.60/x
  3. Step 3: Cross multiply
    3,415.92x = 5,124.42 × 1,224.60
  4. Step 4: Simplify right side
    3,415.92x = 6,275,364.73
  5. Step 5: Solve for x
    x = 6,275,364.73/3,415.92
  6. Step 6: Final answer
    x = 1,837.09

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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.