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Finding the Fourth Proportional to 3,692.99, 5,094.82 and 2,256.61

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Solution

The fourth proportional to 3,692.99, 5,094.82 and 2,256.61 is: 3,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.99 : 5,094.82 = 2,256.61 : x
  2. Step 2: Convert to fraction form
    3,692.99/5,094.82 = 2,256.61/x
  3. Step 3: Cross multiply
    3,692.99x = 5,094.82 × 2,256.61
  4. Step 4: Simplify right side
    3,692.99x = 11,497,021.76
  5. Step 5: Solve for x
    x = 11,497,021.76/3,692.99
  6. Step 6: Final answer
    x = 3,113.20

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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.