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Finding the Fourth Proportional to 3,786.01, 5,675.37 and 1,188.34

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Solution

The fourth proportional to 3,786.01, 5,675.37 and 1,188.34 is: 1,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.01 : 5,675.37 = 1,188.34 : x
  2. Step 2: Convert to fraction form
    3,786.01/5,675.37 = 1,188.34/x
  3. Step 3: Cross multiply
    3,786.01x = 5,675.37 × 1,188.34
  4. Step 4: Simplify right side
    3,786.01x = 6,744,269.19
  5. Step 5: Solve for x
    x = 6,744,269.19/3,786.01
  6. Step 6: Final answer
    x = 1,781.37

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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.