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Finding the Fourth Proportional to 5,206.94, 7,811.22 and 1,696.12

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Solution

The fourth proportional to 5,206.94, 7,811.22 and 1,696.12 is: 2,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.94 : 7,811.22 = 1,696.12 : x
  2. Step 2: Convert to fraction form
    5,206.94/7,811.22 = 1,696.12/x
  3. Step 3: Cross multiply
    5,206.94x = 7,811.22 × 1,696.12
  4. Step 4: Simplify right side
    5,206.94x = 13,248,766.47
  5. Step 5: Solve for x
    x = 13,248,766.47/5,206.94
  6. Step 6: Final answer
    x = 2,544.44

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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.