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Finding the Fourth Proportional to 5,294.73, 7,939.06 and 2,005.73

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Solution

The fourth proportional to 5,294.73, 7,939.06 and 2,005.73 is: 3,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.73 : 7,939.06 = 2,005.73 : x
  2. Step 2: Convert to fraction form
    5,294.73/7,939.06 = 2,005.73/x
  3. Step 3: Cross multiply
    5,294.73x = 7,939.06 × 2,005.73
  4. Step 4: Simplify right side
    5,294.73x = 15,923,603.40
  5. Step 5: Solve for x
    x = 15,923,603.40/5,294.73
  6. Step 6: Final answer
    x = 3,007.44

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1.5x scale

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.