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Finding the Fourth Proportional to 4,136.67, 5,709.29 and 3,021.30

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Solution

The fourth proportional to 4,136.67, 5,709.29 and 3,021.30 is: 4,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.67 : 5,709.29 = 3,021.30 : x
  2. Step 2: Convert to fraction form
    4,136.67/5,709.29 = 3,021.30/x
  3. Step 3: Cross multiply
    4,136.67x = 5,709.29 × 3,021.30
  4. Step 4: Simplify right side
    4,136.67x = 17,249,462.77
  5. Step 5: Solve for x
    x = 17,249,462.77/4,136.67
  6. Step 6: Final answer
    x = 4,169.89

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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.