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Finding the Fourth Proportional to 5,476.97, 8,207.63 and 4,222.82

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Solution

The fourth proportional to 5,476.97, 8,207.63 and 4,222.82 is: 6,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.97 : 8,207.63 = 4,222.82 : x
  2. Step 2: Convert to fraction form
    5,476.97/8,207.63 = 4,222.82/x
  3. Step 3: Cross multiply
    5,476.97x = 8,207.63 × 4,222.82
  4. Step 4: Simplify right side
    5,476.97x = 34,659,313.64
  5. Step 5: Solve for x
    x = 34,659,313.64/5,476.97
  6. Step 6: Final answer
    x = 6,328.20

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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.