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Finding the Fourth Proportional to 3,692.61, 5,539.98 and 1,500.75

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Solution

The fourth proportional to 3,692.61, 5,539.98 and 1,500.75 is: 2,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.61 : 5,539.98 = 1,500.75 : x
  2. Step 2: Convert to fraction form
    3,692.61/5,539.98 = 1,500.75/x
  3. Step 3: Cross multiply
    3,692.61x = 5,539.98 × 1,500.75
  4. Step 4: Simplify right side
    3,692.61x = 8,314,124.99
  5. Step 5: Solve for x
    x = 8,314,124.99/3,692.61
  6. Step 6: Final answer
    x = 2,251.56

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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.