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Finding the Fourth Proportional to 5,749.38, 7,934.15 and 3,265.38

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Solution

The fourth proportional to 5,749.38, 7,934.15 and 3,265.38 is: 4,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.38 : 7,934.15 = 3,265.38 : x
  2. Step 2: Convert to fraction form
    5,749.38/7,934.15 = 3,265.38/x
  3. Step 3: Cross multiply
    5,749.38x = 7,934.15 × 3,265.38
  4. Step 4: Simplify right side
    5,749.38x = 25,908,014.73
  5. Step 5: Solve for x
    x = 25,908,014.73/5,749.38
  6. Step 6: Final answer
    x = 4,506.23

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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.