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Finding the Fourth Proportional to 3,614.93, 5,421.78 and 1,424.29

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Solution

The fourth proportional to 3,614.93, 5,421.78 and 1,424.29 is: 2,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.93 : 5,421.78 = 1,424.29 : x
  2. Step 2: Convert to fraction form
    3,614.93/5,421.78 = 1,424.29/x
  3. Step 3: Cross multiply
    3,614.93x = 5,421.78 × 1,424.29
  4. Step 4: Simplify right side
    3,614.93x = 7,722,187.04
  5. Step 5: Solve for x
    x = 7,722,187.04/3,614.93
  6. Step 6: Final answer
    x = 2,136.19

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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.