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Finding the Fourth Proportional to 3,980.94, 5,971.77 and 1,059.27

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Solution

The fourth proportional to 3,980.94, 5,971.77 and 1,059.27 is: 1,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.94 : 5,971.77 = 1,059.27 : x
  2. Step 2: Convert to fraction form
    3,980.94/5,971.77 = 1,059.27/x
  3. Step 3: Cross multiply
    3,980.94x = 5,971.77 × 1,059.27
  4. Step 4: Simplify right side
    3,980.94x = 6,325,716.81
  5. Step 5: Solve for x
    x = 6,325,716.81/3,980.94
  6. Step 6: Final answer
    x = 1,589.00

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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.