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Finding the Fourth Proportional to 3,784.42, 5,222.73 and 2,292.47

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Solution

The fourth proportional to 3,784.42, 5,222.73 and 2,292.47 is: 3,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.42 : 5,222.73 = 2,292.47 : x
  2. Step 2: Convert to fraction form
    3,784.42/5,222.73 = 2,292.47/x
  3. Step 3: Cross multiply
    3,784.42x = 5,222.73 × 2,292.47
  4. Step 4: Simplify right side
    3,784.42x = 11,972,951.84
  5. Step 5: Solve for x
    x = 11,972,951.84/3,784.42
  6. Step 6: Final answer
    x = 3,163.75

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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.