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Finding the Fourth Proportional to 3,367.52, 5,051.20 and 902.33

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Solution

The fourth proportional to 3,367.52, 5,051.20 and 902.33 is: 1,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.52 : 5,051.20 = 902.33 : x
  2. Step 2: Convert to fraction form
    3,367.52/5,051.20 = 902.33/x
  3. Step 3: Cross multiply
    3,367.52x = 5,051.20 × 902.33
  4. Step 4: Simplify right side
    3,367.52x = 4,557,844.78
  5. Step 5: Solve for x
    x = 4,557,844.78/3,367.52
  6. Step 6: Final answer
    x = 1,353.47

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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.