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Finding the Fourth Proportional to 4,589.62, 6,846.20 and 4,146.70

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Solution

The fourth proportional to 4,589.62, 6,846.20 and 4,146.70 is: 6,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.62 : 6,846.20 = 4,146.70 : x
  2. Step 2: Convert to fraction form
    4,589.62/6,846.20 = 4,146.70/x
  3. Step 3: Cross multiply
    4,589.62x = 6,846.20 × 4,146.70
  4. Step 4: Simplify right side
    4,589.62x = 28,389,137.54
  5. Step 5: Solve for x
    x = 28,389,137.54/4,589.62
  6. Step 6: Final answer
    x = 6,185.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.