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Finding the Fourth Proportional to 4,137.70, 6,203.06 and 1,795.94

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Solution

The fourth proportional to 4,137.70, 6,203.06 and 1,795.94 is: 2,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.70 : 6,203.06 = 1,795.94 : x
  2. Step 2: Convert to fraction form
    4,137.70/6,203.06 = 1,795.94/x
  3. Step 3: Cross multiply
    4,137.70x = 6,203.06 × 1,795.94
  4. Step 4: Simplify right side
    4,137.70x = 11,140,283.58
  5. Step 5: Solve for x
    x = 11,140,283.58/4,137.70
  6. Step 6: Final answer
    x = 2,692.39

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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.