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Finding the Fourth Proportional to 4,198, 5,793.36 and 2,335

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Solution

The fourth proportional to 4,198, 5,793.36 and 2,335 is: 3,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198 : 5,793.36 = 2,335 : x
  2. Step 2: Convert to fraction form
    4,198/5,793.36 = 2,335/x
  3. Step 3: Cross multiply
    4,198x = 5,793.36 × 2,335
  4. Step 4: Simplify right side
    4,198x = 13,527,495.60
  5. Step 5: Solve for x
    x = 13,527,495.60/4,198
  6. Step 6: Final answer
    x = 3,222.37

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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.