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Finding the Fourth Proportional to 5,205.14, 7,806.00 and 1,694.32

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Solution

The fourth proportional to 5,205.14, 7,806.00 and 1,694.32 is: 2,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.14 : 7,806.00 = 1,694.32 : x
  2. Step 2: Convert to fraction form
    5,205.14/7,806.00 = 1,694.32/x
  3. Step 3: Cross multiply
    5,205.14x = 7,806.00 × 1,694.32
  4. Step 4: Simplify right side
    5,205.14x = 13,225,834.46
  5. Step 5: Solve for x
    x = 13,225,834.46/5,205.14
  6. Step 6: Final answer
    x = 2,540.92

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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.