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Finding the Fourth Proportional to 5,902.81, 8,850.22 and 2,937.49

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Solution

The fourth proportional to 5,902.81, 8,850.22 and 2,937.49 is: 4,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.81 : 8,850.22 = 2,937.49 : x
  2. Step 2: Convert to fraction form
    5,902.81/8,850.22 = 2,937.49/x
  3. Step 3: Cross multiply
    5,902.81x = 8,850.22 × 2,937.49
  4. Step 4: Simplify right side
    5,902.81x = 25,997,403.28
  5. Step 5: Solve for x
    x = 25,997,403.28/5,902.81
  6. Step 6: Final answer
    x = 4,404.24

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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.