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Finding the Fourth Proportional to 3,902.37, 5,853.84 and 1,305.30

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Solution

The fourth proportional to 3,902.37, 5,853.84 and 1,305.30 is: 1,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.37 : 5,853.84 = 1,305.30 : x
  2. Step 2: Convert to fraction form
    3,902.37/5,853.84 = 1,305.30/x
  3. Step 3: Cross multiply
    3,902.37x = 5,853.84 × 1,305.30
  4. Step 4: Simplify right side
    3,902.37x = 7,641,017.35
  5. Step 5: Solve for x
    x = 7,641,017.35/3,902.37
  6. Step 6: Final answer
    x = 1,958.05

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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.