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Finding the Fourth Proportional to 5,999.10, 9,002.70 and 3,914.03

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Solution

The fourth proportional to 5,999.10, 9,002.70 and 3,914.03 is: 5,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.10 : 9,002.70 = 3,914.03 : x
  2. Step 2: Convert to fraction form
    5,999.10/9,002.70 = 3,914.03/x
  3. Step 3: Cross multiply
    5,999.10x = 9,002.70 × 3,914.03
  4. Step 4: Simplify right side
    5,999.10x = 35,236,792.87
  5. Step 5: Solve for x
    x = 35,236,792.87/5,999.10
  6. Step 6: Final answer
    x = 5,873.68

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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.