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Finding the Fourth Proportional to 3,735.26, 5,601.50 and 1,269.41

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Solution

The fourth proportional to 3,735.26, 5,601.50 and 1,269.41 is: 1,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.26 : 5,601.50 = 1,269.41 : x
  2. Step 2: Convert to fraction form
    3,735.26/5,601.50 = 1,269.41/x
  3. Step 3: Cross multiply
    3,735.26x = 5,601.50 × 1,269.41
  4. Step 4: Simplify right side
    3,735.26x = 7,110,600.12
  5. Step 5: Solve for x
    x = 7,110,600.12/3,735.26
  6. Step 6: Final answer
    x = 1,903.65

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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.