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Finding the Fourth Proportional to 5,589.34, 8,384.88 and 1,692.82

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Solution

The fourth proportional to 5,589.34, 8,384.88 and 1,692.82 is: 2,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.34 : 8,384.88 = 1,692.82 : x
  2. Step 2: Convert to fraction form
    5,589.34/8,384.88 = 1,692.82/x
  3. Step 3: Cross multiply
    5,589.34x = 8,384.88 × 1,692.82
  4. Step 4: Simplify right side
    5,589.34x = 14,194,092.56
  5. Step 5: Solve for x
    x = 14,194,092.56/5,589.34
  6. Step 6: Final answer
    x = 2,539.49

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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.