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Finding the Fourth Proportional to 3,774.63, 5,662.94 and 1,309.44

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Solution

The fourth proportional to 3,774.63, 5,662.94 and 1,309.44 is: 1,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.63 : 5,662.94 = 1,309.44 : x
  2. Step 2: Convert to fraction form
    3,774.63/5,662.94 = 1,309.44/x
  3. Step 3: Cross multiply
    3,774.63x = 5,662.94 × 1,309.44
  4. Step 4: Simplify right side
    3,774.63x = 7,415,288.87
  5. Step 5: Solve for x
    x = 7,415,288.87/3,774.63
  6. Step 6: Final answer
    x = 1,964.51

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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.