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Finding the Fourth Proportional to 6,385.91, 9,580.49 and 2,003.41

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Solution

The fourth proportional to 6,385.91, 9,580.49 and 2,003.41 is: 3,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.91 : 9,580.49 = 2,003.41 : x
  2. Step 2: Convert to fraction form
    6,385.91/9,580.49 = 2,003.41/x
  3. Step 3: Cross multiply
    6,385.91x = 9,580.49 × 2,003.41
  4. Step 4: Simplify right side
    6,385.91x = 19,193,625.52
  5. Step 5: Solve for x
    x = 19,193,625.52/6,385.91
  6. Step 6: Final answer
    x = 3,005.62

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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.