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Finding the Fourth Proportional to 6,211.86, 8,570.53 and 3,692.69

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Solution

The fourth proportional to 6,211.86, 8,570.53 and 3,692.69 is: 5,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.86 : 8,570.53 = 3,692.69 : x
  2. Step 2: Convert to fraction form
    6,211.86/8,570.53 = 3,692.69/x
  3. Step 3: Cross multiply
    6,211.86x = 8,570.53 × 3,692.69
  4. Step 4: Simplify right side
    6,211.86x = 31,648,310.43
  5. Step 5: Solve for x
    x = 31,648,310.43/6,211.86
  6. Step 6: Final answer
    x = 5,094.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.