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Finding the Fourth Proportional to 5,756.51, 7,943.98 and 3,238.62

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Solution

The fourth proportional to 5,756.51, 7,943.98 and 3,238.62 is: 4,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.51 : 7,943.98 = 3,238.62 : x
  2. Step 2: Convert to fraction form
    5,756.51/7,943.98 = 3,238.62/x
  3. Step 3: Cross multiply
    5,756.51x = 7,943.98 × 3,238.62
  4. Step 4: Simplify right side
    5,756.51x = 25,727,554.20
  5. Step 5: Solve for x
    x = 25,727,554.20/5,756.51
  6. Step 6: Final answer
    x = 4,469.30

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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.