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Finding the Fourth Proportional to 3,413.74, 4,709.39 and 2,468.04

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Solution

The fourth proportional to 3,413.74, 4,709.39 and 2,468.04 is: 3,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.74 : 4,709.39 = 2,468.04 : x
  2. Step 2: Convert to fraction form
    3,413.74/4,709.39 = 2,468.04/x
  3. Step 3: Cross multiply
    3,413.74x = 4,709.39 × 2,468.04
  4. Step 4: Simplify right side
    3,413.74x = 11,622,962.90
  5. Step 5: Solve for x
    x = 11,622,962.90/3,413.74
  6. Step 6: Final answer
    x = 3,404.76

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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.