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Finding the Fourth Proportional to 4,922.42, 7,383.42 and 1,224.59

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Solution

The fourth proportional to 4,922.42, 7,383.42 and 1,224.59 is: 1,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.42 : 7,383.42 = 1,224.59 : x
  2. Step 2: Convert to fraction form
    4,922.42/7,383.42 = 1,224.59/x
  3. Step 3: Cross multiply
    4,922.42x = 7,383.42 × 1,224.59
  4. Step 4: Simplify right side
    4,922.42x = 9,041,625.38
  5. Step 5: Solve for x
    x = 9,041,625.38/4,922.42
  6. Step 6: Final answer
    x = 1,836.83

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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.