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Finding the Fourth Proportional to 5,947.14, 8,208 and 3,711.45

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Solution

The fourth proportional to 5,947.14, 8,208 and 3,711.45 is: 5,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.14 : 8,208 = 3,711.45 : x
  2. Step 2: Convert to fraction form
    5,947.14/8,208 = 3,711.45/x
  3. Step 3: Cross multiply
    5,947.14x = 8,208 × 3,711.45
  4. Step 4: Simplify right side
    5,947.14x = 30,463,581.60
  5. Step 5: Solve for x
    x = 30,463,581.60/5,947.14
  6. Step 6: Final answer
    x = 5,122.39

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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.