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Finding the Fourth Proportional to 5,537.83, 7,644.77 and 3,413.74

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Solution

The fourth proportional to 5,537.83, 7,644.77 and 3,413.74 is: 4,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.83 : 7,644.77 = 3,413.74 : x
  2. Step 2: Convert to fraction form
    5,537.83/7,644.77 = 3,413.74/x
  3. Step 3: Cross multiply
    5,537.83x = 7,644.77 × 3,413.74
  4. Step 4: Simplify right side
    5,537.83x = 26,097,257.14
  5. Step 5: Solve for x
    x = 26,097,257.14/5,537.83
  6. Step 6: Final answer
    x = 4,712.54

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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.