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Finding the Fourth Proportional to 5,300, 7,952.08 and 2,013.96

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Solution

The fourth proportional to 5,300, 7,952.08 and 2,013.96 is: 3,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 7,952.08 = 2,013.96 : x
  2. Step 2: Convert to fraction form
    5,300/7,952.08 = 2,013.96/x
  3. Step 3: Cross multiply
    5,300x = 7,952.08 × 2,013.96
  4. Step 4: Simplify right side
    5,300x = 16,015,171.04
  5. Step 5: Solve for x
    x = 16,015,171.04/5,300
  6. Step 6: Final answer
    x = 3,021.73

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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.