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Finding the Fourth Proportional to 5,950, 8,211 and 3,466

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Solution

The fourth proportional to 5,950, 8,211 and 3,466 is: 4,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950 : 8,211 = 3,466 : x
  2. Step 2: Convert to fraction form
    5,950/8,211 = 3,466/x
  3. Step 3: Cross multiply
    5,950x = 8,211 × 3,466
  4. Step 4: Simplify right side
    5,950x = 28,459,326
  5. Step 5: Solve for x
    x = 28,459,326/5,950
  6. Step 6: Final answer
    x = 4,783.08

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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.