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Finding the Fourth Proportional to 3,614.93, 5,423.76 and 1,423.83

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Solution

The fourth proportional to 3,614.93, 5,423.76 and 1,423.83 is: 2,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.93 : 5,423.76 = 1,423.83 : x
  2. Step 2: Convert to fraction form
    3,614.93/5,423.76 = 1,423.83/x
  3. Step 3: Cross multiply
    3,614.93x = 5,423.76 × 1,423.83
  4. Step 4: Simplify right side
    3,614.93x = 7,722,502.03
  5. Step 5: Solve for x
    x = 7,722,502.03/3,614.93
  6. Step 6: Final answer
    x = 2,136.28

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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.