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Finding the Fourth Proportional to 3,515.50, 5,269.80 and 1,956.25

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Solution

The fourth proportional to 3,515.50, 5,269.80 and 1,956.25 is: 2,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.50 : 5,269.80 = 1,956.25 : x
  2. Step 2: Convert to fraction form
    3,515.50/5,269.80 = 1,956.25/x
  3. Step 3: Cross multiply
    3,515.50x = 5,269.80 × 1,956.25
  4. Step 4: Simplify right side
    3,515.50x = 10,309,019.90
  5. Step 5: Solve for x
    x = 10,309,019.90/3,515.50
  6. Step 6: Final answer
    x = 2,932.45

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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.