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Finding the Fourth Proportional to 3,615.48, 5,423.82 and 1,274.82

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Solution

The fourth proportional to 3,615.48, 5,423.82 and 1,274.82 is: 1,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.48 : 5,423.82 = 1,274.82 : x
  2. Step 2: Convert to fraction form
    3,615.48/5,423.82 = 1,274.82/x
  3. Step 3: Cross multiply
    3,615.48x = 5,423.82 × 1,274.82
  4. Step 4: Simplify right side
    3,615.48x = 6,914,394.21
  5. Step 5: Solve for x
    x = 6,914,394.21/3,615.48
  6. Step 6: Final answer
    x = 1,912.44

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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.