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Finding the Fourth Proportional to 5,684.07, 7,841.25 and 4,896.75

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Solution

The fourth proportional to 5,684.07, 7,841.25 and 4,896.75 is: 6,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.07 : 7,841.25 = 4,896.75 : x
  2. Step 2: Convert to fraction form
    5,684.07/7,841.25 = 4,896.75/x
  3. Step 3: Cross multiply
    5,684.07x = 7,841.25 × 4,896.75
  4. Step 4: Simplify right side
    5,684.07x = 38,396,640.94
  5. Step 5: Solve for x
    x = 38,396,640.94/5,684.07
  6. Step 6: Final answer
    x = 6,755.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.