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Finding the Fourth Proportional to 4,188.36, 6,272.97 and 1,998.63

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Solution

The fourth proportional to 4,188.36, 6,272.97 and 1,998.63 is: 2,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.36 : 6,272.97 = 1,998.63 : x
  2. Step 2: Convert to fraction form
    4,188.36/6,272.97 = 1,998.63/x
  3. Step 3: Cross multiply
    4,188.36x = 6,272.97 × 1,998.63
  4. Step 4: Simplify right side
    4,188.36x = 12,537,320.50
  5. Step 5: Solve for x
    x = 12,537,320.50/4,188.36
  6. Step 6: Final answer
    x = 2,993.37

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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.