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Finding the Fourth Proportional to 3,786.51, 5,676.12 and 1,188.84

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Solution

The fourth proportional to 3,786.51, 5,676.12 and 1,188.84 is: 1,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.51 : 5,676.12 = 1,188.84 : x
  2. Step 2: Convert to fraction form
    3,786.51/5,676.12 = 1,188.84/x
  3. Step 3: Cross multiply
    3,786.51x = 5,676.12 × 1,188.84
  4. Step 4: Simplify right side
    3,786.51x = 6,747,998.50
  5. Step 5: Solve for x
    x = 6,747,998.50/3,786.51
  6. Step 6: Final answer
    x = 1,782.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.