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Finding the Fourth Proportional to 4,745.34, 7,133.94 and 3,827.34

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Solution

The fourth proportional to 4,745.34, 7,133.94 and 3,827.34 is: 5,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.34 : 7,133.94 = 3,827.34 : x
  2. Step 2: Convert to fraction form
    4,745.34/7,133.94 = 3,827.34/x
  3. Step 3: Cross multiply
    4,745.34x = 7,133.94 × 3,827.34
  4. Step 4: Simplify right side
    4,745.34x = 27,304,013.92
  5. Step 5: Solve for x
    x = 27,304,013.92/4,745.34
  6. Step 6: Final answer
    x = 5,753.86

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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.