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Finding the Fourth Proportional to 5,589.73, 8,386.11 and 4,977.69

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Solution

The fourth proportional to 5,589.73, 8,386.11 and 4,977.69 is: 7,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.73 : 8,386.11 = 4,977.69 : x
  2. Step 2: Convert to fraction form
    5,589.73/8,386.11 = 4,977.69/x
  3. Step 3: Cross multiply
    5,589.73x = 8,386.11 × 4,977.69
  4. Step 4: Simplify right side
    5,589.73x = 41,743,413.96
  5. Step 5: Solve for x
    x = 41,743,413.96/5,589.73
  6. Step 6: Final answer
    x = 7,467.88

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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.