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Finding the Fourth Proportional to 3,407.41, 5,111.16 and 1,216.27

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Solution

The fourth proportional to 3,407.41, 5,111.16 and 1,216.27 is: 1,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.41 : 5,111.16 = 1,216.27 : x
  2. Step 2: Convert to fraction form
    3,407.41/5,111.16 = 1,216.27/x
  3. Step 3: Cross multiply
    3,407.41x = 5,111.16 × 1,216.27
  4. Step 4: Simplify right side
    3,407.41x = 6,216,550.57
  5. Step 5: Solve for x
    x = 6,216,550.57/3,407.41
  6. Step 6: Final answer
    x = 1,824.42

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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.