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Finding the Fourth Proportional to 4,570.26, 6,856.20 and 1,608.90

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Solution

The fourth proportional to 4,570.26, 6,856.20 and 1,608.90 is: 2,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.26 : 6,856.20 = 1,608.90 : x
  2. Step 2: Convert to fraction form
    4,570.26/6,856.20 = 1,608.90/x
  3. Step 3: Cross multiply
    4,570.26x = 6,856.20 × 1,608.90
  4. Step 4: Simplify right side
    4,570.26x = 11,030,940.18
  5. Step 5: Solve for x
    x = 11,030,940.18/4,570.26
  6. Step 6: Final answer
    x = 2,413.64

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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.