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Finding the Fourth Proportional to 4,394.63, 6,584.63 and 3,093.37

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Solution

The fourth proportional to 4,394.63, 6,584.63 and 3,093.37 is: 4,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.63 : 6,584.63 = 3,093.37 : x
  2. Step 2: Convert to fraction form
    4,394.63/6,584.63 = 3,093.37/x
  3. Step 3: Cross multiply
    4,394.63x = 6,584.63 × 3,093.37
  4. Step 4: Simplify right side
    4,394.63x = 20,368,696.90
  5. Step 5: Solve for x
    x = 20,368,696.90/4,394.63
  6. Step 6: Final answer
    x = 4,634.91

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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.