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Finding the Fourth Proportional to 4,136.40, 5,708.90 and 3,021.03

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Solution

The fourth proportional to 4,136.40, 5,708.90 and 3,021.03 is: 4,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.40 : 5,708.90 = 3,021.03 : x
  2. Step 2: Convert to fraction form
    4,136.40/5,708.90 = 3,021.03/x
  3. Step 3: Cross multiply
    4,136.40x = 5,708.90 × 3,021.03
  4. Step 4: Simplify right side
    4,136.40x = 17,246,765.72
  5. Step 5: Solve for x
    x = 17,246,765.72/4,136.40
  6. Step 6: Final answer
    x = 4,169.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.