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Finding the Fourth Proportional to 3,902.37, 5,853.89 and 1,269.76

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Solution

The fourth proportional to 3,902.37, 5,853.89 and 1,269.76 is: 1,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.37 : 5,853.89 = 1,269.76 : x
  2. Step 2: Convert to fraction form
    3,902.37/5,853.89 = 1,269.76/x
  3. Step 3: Cross multiply
    3,902.37x = 5,853.89 × 1,269.76
  4. Step 4: Simplify right side
    3,902.37x = 7,433,035.37
  5. Step 5: Solve for x
    x = 7,433,035.37/3,902.37
  6. Step 6: Final answer
    x = 1,904.75

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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.