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Finding the Fourth Proportional to 4,002.30, 6,003.09 and 2,837.30

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Solution

The fourth proportional to 4,002.30, 6,003.09 and 2,837.30 is: 4,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.30 : 6,003.09 = 2,837.30 : x
  2. Step 2: Convert to fraction form
    4,002.30/6,003.09 = 2,837.30/x
  3. Step 3: Cross multiply
    4,002.30x = 6,003.09 × 2,837.30
  4. Step 4: Simplify right side
    4,002.30x = 17,032,537.24
  5. Step 5: Solve for x
    x = 17,032,537.24/4,002.30
  6. Step 6: Final answer
    x = 4,255.69

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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.