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Finding the Fourth Proportional to 5,936.89, 8,193.14 and 3,284.25

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Solution

The fourth proportional to 5,936.89, 8,193.14 and 3,284.25 is: 4,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.89 : 8,193.14 = 3,284.25 : x
  2. Step 2: Convert to fraction form
    5,936.89/8,193.14 = 3,284.25/x
  3. Step 3: Cross multiply
    5,936.89x = 8,193.14 × 3,284.25
  4. Step 4: Simplify right side
    5,936.89x = 26,908,307.77
  5. Step 5: Solve for x
    x = 26,908,307.77/5,936.89
  6. Step 6: Final answer
    x = 4,532.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.