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Finding the Fourth Proportional to 5,605.40, 8,413.31 and 2,834.03

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Solution

The fourth proportional to 5,605.40, 8,413.31 and 2,834.03 is: 4,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.40 : 8,413.31 = 2,834.03 : x
  2. Step 2: Convert to fraction form
    5,605.40/8,413.31 = 2,834.03/x
  3. Step 3: Cross multiply
    5,605.40x = 8,413.31 × 2,834.03
  4. Step 4: Simplify right side
    5,605.40x = 23,843,601.06
  5. Step 5: Solve for x
    x = 23,843,601.06/5,605.40
  6. Step 6: Final answer
    x = 4,253.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.