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Finding the Fourth Proportional to 3,601.27, 5,394.07 and 1,748.49

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Solution

The fourth proportional to 3,601.27, 5,394.07 and 1,748.49 is: 2,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.27 : 5,394.07 = 1,748.49 : x
  2. Step 2: Convert to fraction form
    3,601.27/5,394.07 = 1,748.49/x
  3. Step 3: Cross multiply
    3,601.27x = 5,394.07 × 1,748.49
  4. Step 4: Simplify right side
    3,601.27x = 9,431,477.45
  5. Step 5: Solve for x
    x = 9,431,477.45/3,601.27
  6. Step 6: Final answer
    x = 2,618.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.