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Finding the Fourth Proportional to 5,756.59, 7,944.02 and 3,238.70

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Solution

The fourth proportional to 5,756.59, 7,944.02 and 3,238.70 is: 4,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.59 : 7,944.02 = 3,238.70 : x
  2. Step 2: Convert to fraction form
    5,756.59/7,944.02 = 3,238.70/x
  3. Step 3: Cross multiply
    5,756.59x = 7,944.02 × 3,238.70
  4. Step 4: Simplify right side
    5,756.59x = 25,728,281.38
  5. Step 5: Solve for x
    x = 25,728,281.38/5,756.59
  6. Step 6: Final answer
    x = 4,469.36

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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.