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Finding the Fourth Proportional to 5,756.87, 7,942.49 and 3,238.58

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Solution

The fourth proportional to 5,756.87, 7,942.49 and 3,238.58 is: 4,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.87 : 7,942.49 = 3,238.58 : x
  2. Step 2: Convert to fraction form
    5,756.87/7,942.49 = 3,238.58/x
  3. Step 3: Cross multiply
    5,756.87x = 7,942.49 × 3,238.58
  4. Step 4: Simplify right side
    5,756.87x = 25,722,347.34
  5. Step 5: Solve for x
    x = 25,722,347.34/5,756.87
  6. Step 6: Final answer
    x = 4,468.12

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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.