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Finding the Fourth Proportional to 4,003.44, 6,006.54 and 1,663.65

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Solution

The fourth proportional to 4,003.44, 6,006.54 and 1,663.65 is: 2,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.44 : 6,006.54 = 1,663.65 : x
  2. Step 2: Convert to fraction form
    4,003.44/6,006.54 = 1,663.65/x
  3. Step 3: Cross multiply
    4,003.44x = 6,006.54 × 1,663.65
  4. Step 4: Simplify right side
    4,003.44x = 9,992,780.27
  5. Step 5: Solve for x
    x = 9,992,780.27/4,003.44
  6. Step 6: Final answer
    x = 2,496.05

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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.