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Finding the Fourth Proportional to 3,413.05, 5,119.94 and 947.87

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Solution

The fourth proportional to 3,413.05, 5,119.94 and 947.87 is: 1,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.05 : 5,119.94 = 947.87 : x
  2. Step 2: Convert to fraction form
    3,413.05/5,119.94 = 947.87/x
  3. Step 3: Cross multiply
    3,413.05x = 5,119.94 × 947.87
  4. Step 4: Simplify right side
    3,413.05x = 4,853,045.59
  5. Step 5: Solve for x
    x = 4,853,045.59/3,413.05
  6. Step 6: Final answer
    x = 1,421.91

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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.