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Finding the Fourth Proportional to 5,692.60, 8,530.90 and 4,524.60

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Solution

The fourth proportional to 5,692.60, 8,530.90 and 4,524.60 is: 6,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.60 : 8,530.90 = 4,524.60 : x
  2. Step 2: Convert to fraction form
    5,692.60/8,530.90 = 4,524.60/x
  3. Step 3: Cross multiply
    5,692.60x = 8,530.90 × 4,524.60
  4. Step 4: Simplify right side
    5,692.60x = 38,598,910.14
  5. Step 5: Solve for x
    x = 38,598,910.14/5,692.60
  6. Step 6: Final answer
    x = 6,780.54

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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.