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Finding the Fourth Proportional to 6,003.56, 9,005.34 and 3,080.00

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Solution

The fourth proportional to 6,003.56, 9,005.34 and 3,080.00 is: 4,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.56 : 9,005.34 = 3,080.00 : x
  2. Step 2: Convert to fraction form
    6,003.56/9,005.34 = 3,080.00/x
  3. Step 3: Cross multiply
    6,003.56x = 9,005.34 × 3,080.00
  4. Step 4: Simplify right side
    6,003.56x = 27,736,413.14
  5. Step 5: Solve for x
    x = 27,736,413.14/6,003.56
  6. Step 6: Final answer
    x = 4,620.00

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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.