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Finding the Fourth Proportional to 3,413.79, 5,120.69 and 948.61

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Solution

The fourth proportional to 3,413.79, 5,120.69 and 948.61 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.79 : 5,120.69 = 948.61 : x
  2. Step 2: Convert to fraction form
    3,413.79/5,120.69 = 948.61/x
  3. Step 3: Cross multiply
    3,413.79x = 5,120.69 × 948.61
  4. Step 4: Simplify right side
    3,413.79x = 4,857,539.40
  5. Step 5: Solve for x
    x = 4,857,539.40/3,413.79
  6. Step 6: Final answer
    x = 1,422.92

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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.