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Finding the Fourth Proportional to 3,911.74, 5,858.49 and 1,933.72

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Solution

The fourth proportional to 3,911.74, 5,858.49 and 1,933.72 is: 2,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.74 : 5,858.49 = 1,933.72 : x
  2. Step 2: Convert to fraction form
    3,911.74/5,858.49 = 1,933.72/x
  3. Step 3: Cross multiply
    3,911.74x = 5,858.49 × 1,933.72
  4. Step 4: Simplify right side
    3,911.74x = 11,328,679.28
  5. Step 5: Solve for x
    x = 11,328,679.28/3,911.74
  6. Step 6: Final answer
    x = 2,896.07

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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.