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Finding the Fourth Proportional to 7,204, 9,941.52 and 3,892

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Solution

The fourth proportional to 7,204, 9,941.52 and 3,892 is: 5,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204 : 9,941.52 = 3,892 : x
  2. Step 2: Convert to fraction form
    7,204/9,941.52 = 3,892/x
  3. Step 3: Cross multiply
    7,204x = 9,941.52 × 3,892
  4. Step 4: Simplify right side
    7,204x = 38,692,395.84
  5. Step 5: Solve for x
    x = 38,692,395.84/7,204
  6. Step 6: Final answer
    x = 5,370.96

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Why These Related Problems?

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