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Finding the Fourth Proportional to 4,993.83, 6,894.25 and 3,004.88

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Solution

The fourth proportional to 4,993.83, 6,894.25 and 3,004.88 is: 4,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.83 : 6,894.25 = 3,004.88 : x
  2. Step 2: Convert to fraction form
    4,993.83/6,894.25 = 3,004.88/x
  3. Step 3: Cross multiply
    4,993.83x = 6,894.25 × 3,004.88
  4. Step 4: Simplify right side
    4,993.83x = 20,716,351.96
  5. Step 5: Solve for x
    x = 20,716,351.96/4,993.83
  6. Step 6: Final answer
    x = 4,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.