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Finding the Fourth Proportional to 7,079.52, 9,769.50 and 3,935.64

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Solution

The fourth proportional to 7,079.52, 9,769.50 and 3,935.64 is: 5,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.52 : 9,769.50 = 3,935.64 : x
  2. Step 2: Convert to fraction form
    7,079.52/9,769.50 = 3,935.64/x
  3. Step 3: Cross multiply
    7,079.52x = 9,769.50 × 3,935.64
  4. Step 4: Simplify right side
    7,079.52x = 38,449,234.98
  5. Step 5: Solve for x
    x = 38,449,234.98/7,079.52
  6. Step 6: Final answer
    x = 5,431.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.