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Finding the Fourth Proportional to 4,002.60, 5,993.10 and 3,138.60

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Solution

The fourth proportional to 4,002.60, 5,993.10 and 3,138.60 is: 4,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.60 : 5,993.10 = 3,138.60 : x
  2. Step 2: Convert to fraction form
    4,002.60/5,993.10 = 3,138.60/x
  3. Step 3: Cross multiply
    4,002.60x = 5,993.10 × 3,138.60
  4. Step 4: Simplify right side
    4,002.60x = 18,809,943.66
  5. Step 5: Solve for x
    x = 18,809,943.66/4,002.60
  6. Step 6: Final answer
    x = 4,699.43

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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.