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Finding the Fourth Proportional to 3,965.94, 5,951.64 and 1,368.88

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Solution

The fourth proportional to 3,965.94, 5,951.64 and 1,368.88 is: 2,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.94 : 5,951.64 = 1,368.88 : x
  2. Step 2: Convert to fraction form
    3,965.94/5,951.64 = 1,368.88/x
  3. Step 3: Cross multiply
    3,965.94x = 5,951.64 × 1,368.88
  4. Step 4: Simplify right side
    3,965.94x = 8,147,080.96
  5. Step 5: Solve for x
    x = 8,147,080.96/3,965.94
  6. Step 6: Final answer
    x = 2,054.26

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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.