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Finding the Fourth Proportional to 3,407.57, 5,112.44 and 1,216.25

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Solution

The fourth proportional to 3,407.57, 5,112.44 and 1,216.25 is: 1,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.57 : 5,112.44 = 1,216.25 : x
  2. Step 2: Convert to fraction form
    3,407.57/5,112.44 = 1,216.25/x
  3. Step 3: Cross multiply
    3,407.57x = 5,112.44 × 1,216.25
  4. Step 4: Simplify right side
    3,407.57x = 6,217,999.07
  5. Step 5: Solve for x
    x = 6,217,999.07/3,407.57
  6. Step 6: Final answer
    x = 1,824.76

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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.