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Finding the Fourth Proportional to 4,205.97, 6,309.63 and 1,284.03

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Solution

The fourth proportional to 4,205.97, 6,309.63 and 1,284.03 is: 1,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.97 : 6,309.63 = 1,284.03 : x
  2. Step 2: Convert to fraction form
    4,205.97/6,309.63 = 1,284.03/x
  3. Step 3: Cross multiply
    4,205.97x = 6,309.63 × 1,284.03
  4. Step 4: Simplify right side
    4,205.97x = 8,101,754.21
  5. Step 5: Solve for x
    x = 8,101,754.21/4,205.97
  6. Step 6: Final answer
    x = 1,926.25

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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.