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Finding the Fourth Proportional to 3,413.32, 5,111.78 and 1,948.03

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Solution

The fourth proportional to 3,413.32, 5,111.78 and 1,948.03 is: 2,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.32 : 5,111.78 = 1,948.03 : x
  2. Step 2: Convert to fraction form
    3,413.32/5,111.78 = 1,948.03/x
  3. Step 3: Cross multiply
    3,413.32x = 5,111.78 × 1,948.03
  4. Step 4: Simplify right side
    3,413.32x = 9,957,878.27
  5. Step 5: Solve for x
    x = 9,957,878.27/3,413.32
  6. Step 6: Final answer
    x = 2,917.36

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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.