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Finding the Fourth Proportional to 5,608.44, 7,745.22 and 4,617

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Solution

The fourth proportional to 5,608.44, 7,745.22 and 4,617 is: 6,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.44 : 7,745.22 = 4,617 : x
  2. Step 2: Convert to fraction form
    5,608.44/7,745.22 = 4,617/x
  3. Step 3: Cross multiply
    5,608.44x = 7,745.22 × 4,617
  4. Step 4: Simplify right side
    5,608.44x = 35,759,680.74
  5. Step 5: Solve for x
    x = 35,759,680.74/5,608.44
  6. Step 6: Final answer
    x = 6,376.05

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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.