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Finding the Fourth Proportional to 5,756.07, 7,943.64 and 3,238.14

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Solution

The fourth proportional to 5,756.07, 7,943.64 and 3,238.14 is: 4,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.07 : 7,943.64 = 3,238.14 : x
  2. Step 2: Convert to fraction form
    5,756.07/7,943.64 = 3,238.14/x
  3. Step 3: Cross multiply
    5,756.07x = 7,943.64 × 3,238.14
  4. Step 4: Simplify right side
    5,756.07x = 25,722,618.43
  5. Step 5: Solve for x
    x = 25,722,618.43/5,756.07
  6. Step 6: Final answer
    x = 4,468.78

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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.