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Finding the Fourth Proportional to 5,626.98, 7,765.71 and 3,268.97

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Solution

The fourth proportional to 5,626.98, 7,765.71 and 3,268.97 is: 4,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.98 : 7,765.71 = 3,268.97 : x
  2. Step 2: Convert to fraction form
    5,626.98/7,765.71 = 3,268.97/x
  3. Step 3: Cross multiply
    5,626.98x = 7,765.71 × 3,268.97
  4. Step 4: Simplify right side
    5,626.98x = 25,385,834.19
  5. Step 5: Solve for x
    x = 25,385,834.19/5,626.98
  6. Step 6: Final answer
    x = 4,511.45

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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.