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Finding the Fourth Proportional to 4,413.68, 6,601.44 and 2,560.40

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Solution

The fourth proportional to 4,413.68, 6,601.44 and 2,560.40 is: 3,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.68 : 6,601.44 = 2,560.40 : x
  2. Step 2: Convert to fraction form
    4,413.68/6,601.44 = 2,560.40/x
  3. Step 3: Cross multiply
    4,413.68x = 6,601.44 × 2,560.40
  4. Step 4: Simplify right side
    4,413.68x = 16,902,326.98
  5. Step 5: Solve for x
    x = 16,902,326.98/4,413.68
  6. Step 6: Final answer
    x = 3,829.53

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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.