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Finding the Fourth Proportional to 3,596.92, 5,393.25 and 1,403.09

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Solution

The fourth proportional to 3,596.92, 5,393.25 and 1,403.09 is: 2,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.92 : 5,393.25 = 1,403.09 : x
  2. Step 2: Convert to fraction form
    3,596.92/5,393.25 = 1,403.09/x
  3. Step 3: Cross multiply
    3,596.92x = 5,393.25 × 1,403.09
  4. Step 4: Simplify right side
    3,596.92x = 7,567,208.40
  5. Step 5: Solve for x
    x = 7,567,208.40/3,596.92
  6. Step 6: Final answer
    x = 2,103.80

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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.