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Finding the Fourth Proportional to 3,934, 5,428.80 and 2,165.52

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Solution

The fourth proportional to 3,934, 5,428.80 and 2,165.52 is: 2,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934 : 5,428.80 = 2,165.52 : x
  2. Step 2: Convert to fraction form
    3,934/5,428.80 = 2,165.52/x
  3. Step 3: Cross multiply
    3,934x = 5,428.80 × 2,165.52
  4. Step 4: Simplify right side
    3,934x = 11,756,174.98
  5. Step 5: Solve for x
    x = 11,756,174.98/3,934
  6. Step 6: Final answer
    x = 2,988.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.