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Finding the Fourth Proportional to 5,189.39, 7,784.01 and 1,902.44

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Solution

The fourth proportional to 5,189.39, 7,784.01 and 1,902.44 is: 2,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.39 : 7,784.01 = 1,902.44 : x
  2. Step 2: Convert to fraction form
    5,189.39/7,784.01 = 1,902.44/x
  3. Step 3: Cross multiply
    5,189.39x = 7,784.01 × 1,902.44
  4. Step 4: Simplify right side
    5,189.39x = 14,808,611.98
  5. Step 5: Solve for x
    x = 14,808,611.98/5,189.39
  6. Step 6: Final answer
    x = 2,853.63

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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.