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Finding the Fourth Proportional to 4,593.70, 6,891.46 and 1,819.86

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Solution

The fourth proportional to 4,593.70, 6,891.46 and 1,819.86 is: 2,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.70 : 6,891.46 = 1,819.86 : x
  2. Step 2: Convert to fraction form
    4,593.70/6,891.46 = 1,819.86/x
  3. Step 3: Cross multiply
    4,593.70x = 6,891.46 × 1,819.86
  4. Step 4: Simplify right side
    4,593.70x = 12,541,492.40
  5. Step 5: Solve for x
    x = 12,541,492.40/4,593.70
  6. Step 6: Final answer
    x = 2,730.15

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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.