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Finding the Fourth Proportional to 5,217.98, 7,827 and 1,755.23

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Solution

The fourth proportional to 5,217.98, 7,827 and 1,755.23 is: 2,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.98 : 7,827 = 1,755.23 : x
  2. Step 2: Convert to fraction form
    5,217.98/7,827 = 1,755.23/x
  3. Step 3: Cross multiply
    5,217.98x = 7,827 × 1,755.23
  4. Step 4: Simplify right side
    5,217.98x = 13,738,146.08
  5. Step 5: Solve for x
    x = 13,738,146.08/5,217.98
  6. Step 6: Final answer
    x = 2,632.85

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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.