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Finding the Fourth Proportional to 3,651.26, 5,475.96 and 1,703

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Solution

The fourth proportional to 3,651.26, 5,475.96 and 1,703 is: 2,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.26 : 5,475.96 = 1,703 : x
  2. Step 2: Convert to fraction form
    3,651.26/5,475.96 = 1,703/x
  3. Step 3: Cross multiply
    3,651.26x = 5,475.96 × 1,703
  4. Step 4: Simplify right side
    3,651.26x = 9,325,559.88
  5. Step 5: Solve for x
    x = 9,325,559.88/3,651.26
  6. Step 6: Final answer
    x = 2,554.07

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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.