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Finding the Fourth Proportional to 5,692.14, 8,523.25 and 4,575.63

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Solution

The fourth proportional to 5,692.14, 8,523.25 and 4,575.63 is: 6,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.14 : 8,523.25 = 4,575.63 : x
  2. Step 2: Convert to fraction form
    5,692.14/8,523.25 = 4,575.63/x
  3. Step 3: Cross multiply
    5,692.14x = 8,523.25 × 4,575.63
  4. Step 4: Simplify right side
    5,692.14x = 38,999,226.96
  5. Step 5: Solve for x
    x = 38,999,226.96/5,692.14
  6. Step 6: Final answer
    x = 6,851.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.