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Finding the Fourth Proportional to 5,307.56, 7,960.28 and 1,608.92

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Solution

The fourth proportional to 5,307.56, 7,960.28 and 1,608.92 is: 2,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.56 : 7,960.28 = 1,608.92 : x
  2. Step 2: Convert to fraction form
    5,307.56/7,960.28 = 1,608.92/x
  3. Step 3: Cross multiply
    5,307.56x = 7,960.28 × 1,608.92
  4. Step 4: Simplify right side
    5,307.56x = 12,807,453.70
  5. Step 5: Solve for x
    x = 12,807,453.70/5,307.56
  6. Step 6: Final answer
    x = 2,413.06

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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.