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Finding the Fourth Proportional to 5,304.56, 7,950.84 and 2,702

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Solution

The fourth proportional to 5,304.56, 7,950.84 and 2,702 is: 4,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.56 : 7,950.84 = 2,702 : x
  2. Step 2: Convert to fraction form
    5,304.56/7,950.84 = 2,702/x
  3. Step 3: Cross multiply
    5,304.56x = 7,950.84 × 2,702
  4. Step 4: Simplify right side
    5,304.56x = 21,483,169.68
  5. Step 5: Solve for x
    x = 21,483,169.68/5,304.56
  6. Step 6: Final answer
    x = 4,049.94

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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.