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Finding the Fourth Proportional to 5,692.38, 8,539.82 and 1,743.67

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Solution

The fourth proportional to 5,692.38, 8,539.82 and 1,743.67 is: 2,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.38 : 8,539.82 = 1,743.67 : x
  2. Step 2: Convert to fraction form
    5,692.38/8,539.82 = 1,743.67/x
  3. Step 3: Cross multiply
    5,692.38x = 8,539.82 × 1,743.67
  4. Step 4: Simplify right side
    5,692.38x = 14,890,627.94
  5. Step 5: Solve for x
    x = 14,890,627.94/5,692.38
  6. Step 6: Final answer
    x = 2,615.89

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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.