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Finding the Fourth Proportional to 4,793.43, 7,183.74 and 1,870.14

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Solution

The fourth proportional to 4,793.43, 7,183.74 and 1,870.14 is: 2,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.43 : 7,183.74 = 1,870.14 : x
  2. Step 2: Convert to fraction form
    4,793.43/7,183.74 = 1,870.14/x
  3. Step 3: Cross multiply
    4,793.43x = 7,183.74 × 1,870.14
  4. Step 4: Simplify right side
    4,793.43x = 13,434,599.52
  5. Step 5: Solve for x
    x = 13,434,599.52/4,793.43
  6. Step 6: Final answer
    x = 2,802.71

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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.