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Finding the Fourth Proportional to 5,815.76, 8,723.76 and 4,589.84

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Solution

The fourth proportional to 5,815.76, 8,723.76 and 4,589.84 is: 6,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.76 : 8,723.76 = 4,589.84 : x
  2. Step 2: Convert to fraction form
    5,815.76/8,723.76 = 4,589.84/x
  3. Step 3: Cross multiply
    5,815.76x = 8,723.76 × 4,589.84
  4. Step 4: Simplify right side
    5,815.76x = 40,040,662.60
  5. Step 5: Solve for x
    x = 40,040,662.60/5,815.76
  6. Step 6: Final answer
    x = 6,884.85

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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.