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Finding the Fourth Proportional to 5,633.94, 8,456.01 and 3,003.65

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Solution

The fourth proportional to 5,633.94, 8,456.01 and 3,003.65 is: 4,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.94 : 8,456.01 = 3,003.65 : x
  2. Step 2: Convert to fraction form
    5,633.94/8,456.01 = 3,003.65/x
  3. Step 3: Cross multiply
    5,633.94x = 8,456.01 × 3,003.65
  4. Step 4: Simplify right side
    5,633.94x = 25,398,889.50
  5. Step 5: Solve for x
    x = 25,398,889.50/5,633.94
  6. Step 6: Final answer
    x = 4,508.19

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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.