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Finding the Fourth Proportional to 5,504.32, 8,256.54 and 1,608.80

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Solution

The fourth proportional to 5,504.32, 8,256.54 and 1,608.80 is: 2,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.32 : 8,256.54 = 1,608.80 : x
  2. Step 2: Convert to fraction form
    5,504.32/8,256.54 = 1,608.80/x
  3. Step 3: Cross multiply
    5,504.32x = 8,256.54 × 1,608.80
  4. Step 4: Simplify right side
    5,504.32x = 13,283,121.55
  5. Step 5: Solve for x
    x = 13,283,121.55/5,504.32
  6. Step 6: Final answer
    x = 2,413.22

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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.