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Finding the Fourth Proportional to 13,028, 19,542.54 and 3,794

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Solution

The fourth proportional to 13,028, 19,542.54 and 3,794 is: 5,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028 : 19,542.54 = 3,794 : x
  2. Step 2: Convert to fraction form
    13,028/19,542.54 = 3,794/x
  3. Step 3: Cross multiply
    13,028x = 19,542.54 × 3,794
  4. Step 4: Simplify right side
    13,028x = 74,144,396.76
  5. Step 5: Solve for x
    x = 74,144,396.76/13,028
  6. Step 6: Final answer
    x = 5,691.16

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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.