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Finding the Fourth Proportional to 4,461.99, 6,692.04 and 1,540.50

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Solution

The fourth proportional to 4,461.99, 6,692.04 and 1,540.50 is: 2,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.99 : 6,692.04 = 1,540.50 : x
  2. Step 2: Convert to fraction form
    4,461.99/6,692.04 = 1,540.50/x
  3. Step 3: Cross multiply
    4,461.99x = 6,692.04 × 1,540.50
  4. Step 4: Simplify right side
    4,461.99x = 10,309,087.62
  5. Step 5: Solve for x
    x = 10,309,087.62/4,461.99
  6. Step 6: Final answer
    x = 2,310.42

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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.