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Finding the Fourth Proportional to 5,724.54, 8,589.24 and 1,830.06

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Solution

The fourth proportional to 5,724.54, 8,589.24 and 1,830.06 is: 2,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.54 : 8,589.24 = 1,830.06 : x
  2. Step 2: Convert to fraction form
    5,724.54/8,589.24 = 1,830.06/x
  3. Step 3: Cross multiply
    5,724.54x = 8,589.24 × 1,830.06
  4. Step 4: Simplify right side
    5,724.54x = 15,718,824.55
  5. Step 5: Solve for x
    x = 15,718,824.55/5,724.54
  6. Step 6: Final answer
    x = 2,745.87

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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.