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Finding the Fourth Proportional to 4,003.88, 6,006.94 and 1,192.77

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Solution

The fourth proportional to 4,003.88, 6,006.94 and 1,192.77 is: 1,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.88 : 6,006.94 = 1,192.77 : x
  2. Step 2: Convert to fraction form
    4,003.88/6,006.94 = 1,192.77/x
  3. Step 3: Cross multiply
    4,003.88x = 6,006.94 × 1,192.77
  4. Step 4: Simplify right side
    4,003.88x = 7,164,894.84
  5. Step 5: Solve for x
    x = 7,164,894.84/4,003.88
  6. Step 6: Final answer
    x = 1,789.49

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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.