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Finding the Fourth Proportional to 3,413.92, 5,117.89 and 2,833.74

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Solution

The fourth proportional to 3,413.92, 5,117.89 and 2,833.74 is: 4,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.92 : 5,117.89 = 2,833.74 : x
  2. Step 2: Convert to fraction form
    3,413.92/5,117.89 = 2,833.74/x
  3. Step 3: Cross multiply
    3,413.92x = 5,117.89 × 2,833.74
  4. Step 4: Simplify right side
    3,413.92x = 14,502,769.61
  5. Step 5: Solve for x
    x = 14,502,769.61/3,413.92
  6. Step 6: Final answer
    x = 4,248.13

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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.