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Finding the Fourth Proportional to 5,205.75, 7,809.44 and 1,694.93

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Solution

The fourth proportional to 5,205.75, 7,809.44 and 1,694.93 is: 2,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.75 : 7,809.44 = 1,694.93 : x
  2. Step 2: Convert to fraction form
    5,205.75/7,809.44 = 1,694.93/x
  3. Step 3: Cross multiply
    5,205.75x = 7,809.44 × 1,694.93
  4. Step 4: Simplify right side
    5,205.75x = 13,236,431.76
  5. Step 5: Solve for x
    x = 13,236,431.76/5,205.75
  6. Step 6: Final answer
    x = 2,542.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.