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Finding the Fourth Proportional to 5,653.35, 7,800.62 and 3,413.73

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Solution

The fourth proportional to 5,653.35, 7,800.62 and 3,413.73 is: 4,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.35 : 7,800.62 = 3,413.73 : x
  2. Step 2: Convert to fraction form
    5,653.35/7,800.62 = 3,413.73/x
  3. Step 3: Cross multiply
    5,653.35x = 7,800.62 × 3,413.73
  4. Step 4: Simplify right side
    5,653.35x = 26,629,185.22
  5. Step 5: Solve for x
    x = 26,629,185.22/5,653.35
  6. Step 6: Final answer
    x = 4,710.34

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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.