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Finding the Fourth Proportional to 3,583.94, 5,369.63 and 2,196.95

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Solution

The fourth proportional to 3,583.94, 5,369.63 and 2,196.95 is: 3,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.94 : 5,369.63 = 2,196.95 : x
  2. Step 2: Convert to fraction form
    3,583.94/5,369.63 = 2,196.95/x
  3. Step 3: Cross multiply
    3,583.94x = 5,369.63 × 2,196.95
  4. Step 4: Simplify right side
    3,583.94x = 11,796,770.80
  5. Step 5: Solve for x
    x = 11,796,770.80/3,583.94
  6. Step 6: Final answer
    x = 3,291.57

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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.