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Finding the Fourth Proportional to 3,286.63, 4,927.22 and 1,311.04

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Solution

The fourth proportional to 3,286.63, 4,927.22 and 1,311.04 is: 1,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.63 : 4,927.22 = 1,311.04 : x
  2. Step 2: Convert to fraction form
    3,286.63/4,927.22 = 1,311.04/x
  3. Step 3: Cross multiply
    3,286.63x = 4,927.22 × 1,311.04
  4. Step 4: Simplify right side
    3,286.63x = 6,459,782.51
  5. Step 5: Solve for x
    x = 6,459,782.51/3,286.63
  6. Step 6: Final answer
    x = 1,965.47

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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.