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Finding the Fourth Proportional to 5,211, 7,816.50 and 1,512.95

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Solution

The fourth proportional to 5,211, 7,816.50 and 1,512.95 is: 2,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211 : 7,816.50 = 1,512.95 : x
  2. Step 2: Convert to fraction form
    5,211/7,816.50 = 1,512.95/x
  3. Step 3: Cross multiply
    5,211x = 7,816.50 × 1,512.95
  4. Step 4: Simplify right side
    5,211x = 11,825,934.59
  5. Step 5: Solve for x
    x = 11,825,934.59/5,211
  6. Step 6: Final answer
    x = 2,269.42

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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.