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Finding the Fourth Proportional to 4,662.43, 6,993.95 and 1,889.06

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Solution

The fourth proportional to 4,662.43, 6,993.95 and 1,889.06 is: 2,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.43 : 6,993.95 = 1,889.06 : x
  2. Step 2: Convert to fraction form
    4,662.43/6,993.95 = 1,889.06/x
  3. Step 3: Cross multiply
    4,662.43x = 6,993.95 × 1,889.06
  4. Step 4: Simplify right side
    4,662.43x = 13,211,946.77
  5. Step 5: Solve for x
    x = 13,211,946.77/4,662.43
  6. Step 6: Final answer
    x = 2,833.71

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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.