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Finding the Fourth Proportional to 3,692.72, 5,090.20 and 2,511.76

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Solution

The fourth proportional to 3,692.72, 5,090.20 and 2,511.76 is: 3,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.72 : 5,090.20 = 2,511.76 : x
  2. Step 2: Convert to fraction form
    3,692.72/5,090.20 = 2,511.76/x
  3. Step 3: Cross multiply
    3,692.72x = 5,090.20 × 2,511.76
  4. Step 4: Simplify right side
    3,692.72x = 12,785,360.75
  5. Step 5: Solve for x
    x = 12,785,360.75/3,692.72
  6. Step 6: Final answer
    x = 3,462.32

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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.