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Finding the Fourth Proportional to 3,743.26, 5,615.21 and 969.89

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Solution

The fourth proportional to 3,743.26, 5,615.21 and 969.89 is: 1,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.26 : 5,615.21 = 969.89 : x
  2. Step 2: Convert to fraction form
    3,743.26/5,615.21 = 969.89/x
  3. Step 3: Cross multiply
    3,743.26x = 5,615.21 × 969.89
  4. Step 4: Simplify right side
    3,743.26x = 5,446,145.22
  5. Step 5: Solve for x
    x = 5,446,145.22/3,743.26
  6. Step 6: Final answer
    x = 1,454.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.