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Finding the Fourth Proportional to 3,786.44, 5,676.14 and 3,475

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Solution

The fourth proportional to 3,786.44, 5,676.14 and 3,475 is: 5,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.44 : 5,676.14 = 3,475 : x
  2. Step 2: Convert to fraction form
    3,786.44/5,676.14 = 3,475/x
  3. Step 3: Cross multiply
    3,786.44x = 5,676.14 × 3,475
  4. Step 4: Simplify right side
    3,786.44x = 19,724,586.50
  5. Step 5: Solve for x
    x = 19,724,586.50/3,786.44
  6. Step 6: Final answer
    x = 5,209.27

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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.