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Finding the Fourth Proportional to 3,615.36, 5,423.52 and 1,424

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Solution

The fourth proportional to 3,615.36, 5,423.52 and 1,424 is: 2,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.36 : 5,423.52 = 1,424 : x
  2. Step 2: Convert to fraction form
    3,615.36/5,423.52 = 1,424/x
  3. Step 3: Cross multiply
    3,615.36x = 5,423.52 × 1,424
  4. Step 4: Simplify right side
    3,615.36x = 7,723,092.48
  5. Step 5: Solve for x
    x = 7,723,092.48/3,615.36
  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.