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Finding the Fourth Proportional to 3,828.58, 5,745.03 and 1,776.58

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Solution

The fourth proportional to 3,828.58, 5,745.03 and 1,776.58 is: 2,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.58 : 5,745.03 = 1,776.58 : x
  2. Step 2: Convert to fraction form
    3,828.58/5,745.03 = 1,776.58/x
  3. Step 3: Cross multiply
    3,828.58x = 5,745.03 × 1,776.58
  4. Step 4: Simplify right side
    3,828.58x = 10,206,505.40
  5. Step 5: Solve for x
    x = 10,206,505.40/3,828.58
  6. Step 6: Final answer
    x = 2,665.87

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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.