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Finding the Fourth Proportional to 3,814.77, 5,724.36 and 2,059.77

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Solution

The fourth proportional to 3,814.77, 5,724.36 and 2,059.77 is: 3,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.77 : 5,724.36 = 2,059.77 : x
  2. Step 2: Convert to fraction form
    3,814.77/5,724.36 = 2,059.77/x
  3. Step 3: Cross multiply
    3,814.77x = 5,724.36 × 2,059.77
  4. Step 4: Simplify right side
    3,814.77x = 11,790,865.00
  5. Step 5: Solve for x
    x = 11,790,865.00/3,814.77
  6. Step 6: Final answer
    x = 3,090.85

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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.