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Finding the Fourth Proportional to 5,205.50, 7,811.28 and 2,085.80

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Solution

The fourth proportional to 5,205.50, 7,811.28 and 2,085.80 is: 3,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.50 : 7,811.28 = 2,085.80 : x
  2. Step 2: Convert to fraction form
    5,205.50/7,811.28 = 2,085.80/x
  3. Step 3: Cross multiply
    5,205.50x = 7,811.28 × 2,085.80
  4. Step 4: Simplify right side
    5,205.50x = 16,292,767.82
  5. Step 5: Solve for x
    x = 16,292,767.82/5,205.50
  6. Step 6: Final answer
    x = 3,129.91

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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.