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Finding the Fourth Proportional to 5,902.86, 8,146.11 and 3,250.43

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Solution

The fourth proportional to 5,902.86, 8,146.11 and 3,250.43 is: 4,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.86 : 8,146.11 = 3,250.43 : x
  2. Step 2: Convert to fraction form
    5,902.86/8,146.11 = 3,250.43/x
  3. Step 3: Cross multiply
    5,902.86x = 8,146.11 × 3,250.43
  4. Step 4: Simplify right side
    5,902.86x = 26,478,319.60
  5. Step 5: Solve for x
    x = 26,478,319.60/5,902.86
  6. Step 6: Final answer
    x = 4,485.68

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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.