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Finding the Fourth Proportional to 6,002.68, 9,003.60 and 1,620.58

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Solution

The fourth proportional to 6,002.68, 9,003.60 and 1,620.58 is: 2,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.68 : 9,003.60 = 1,620.58 : x
  2. Step 2: Convert to fraction form
    6,002.68/9,003.60 = 1,620.58/x
  3. Step 3: Cross multiply
    6,002.68x = 9,003.60 × 1,620.58
  4. Step 4: Simplify right side
    6,002.68x = 14,591,054.09
  5. Step 5: Solve for x
    x = 14,591,054.09/6,002.68
  6. Step 6: Final answer
    x = 2,430.76

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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.