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Finding the Fourth Proportional to 3,980.32, 5,971.44 and 1,383.52

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Solution

The fourth proportional to 3,980.32, 5,971.44 and 1,383.52 is: 2,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.32 : 5,971.44 = 1,383.52 : x
  2. Step 2: Convert to fraction form
    3,980.32/5,971.44 = 1,383.52/x
  3. Step 3: Cross multiply
    3,980.32x = 5,971.44 × 1,383.52
  4. Step 4: Simplify right side
    3,980.32x = 8,261,606.67
  5. Step 5: Solve for x
    x = 8,261,606.67/3,980.32
  6. Step 6: Final answer
    x = 2,075.61

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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.