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Finding the Fourth Proportional to 3,517.63, 4,852.86 and 2,324.24

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Solution

The fourth proportional to 3,517.63, 4,852.86 and 2,324.24 is: 3,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.63 : 4,852.86 = 2,324.24 : x
  2. Step 2: Convert to fraction form
    3,517.63/4,852.86 = 2,324.24/x
  3. Step 3: Cross multiply
    3,517.63x = 4,852.86 × 2,324.24
  4. Step 4: Simplify right side
    3,517.63x = 11,279,236.92
  5. Step 5: Solve for x
    x = 11,279,236.92/3,517.63
  6. Step 6: Final answer
    x = 3,206.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.