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Finding the Fourth Proportional to 7,079.77, 9,769.84 and 3,935.89

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Solution

The fourth proportional to 7,079.77, 9,769.84 and 3,935.89 is: 5,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.77 : 9,769.84 = 3,935.89 : x
  2. Step 2: Convert to fraction form
    7,079.77/9,769.84 = 3,935.89/x
  3. Step 3: Cross multiply
    7,079.77x = 9,769.84 × 3,935.89
  4. Step 4: Simplify right side
    7,079.77x = 38,453,015.56
  5. Step 5: Solve for x
    x = 38,453,015.56/7,079.77
  6. Step 6: Final answer
    x = 5,431.39

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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.