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Finding the Fourth Proportional to 3,413.64, 5,115.66 and 2,372.09

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Solution

The fourth proportional to 3,413.64, 5,115.66 and 2,372.09 is: 3,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.64 : 5,115.66 = 2,372.09 : x
  2. Step 2: Convert to fraction form
    3,413.64/5,115.66 = 2,372.09/x
  3. Step 3: Cross multiply
    3,413.64x = 5,115.66 × 2,372.09
  4. Step 4: Simplify right side
    3,413.64x = 12,134,771.46
  5. Step 5: Solve for x
    x = 12,134,771.46/3,413.64
  6. Step 6: Final answer
    x = 3,554.79

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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.