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Finding the Fourth Proportional to 3,976.50, 5,955.53 and 3,838.11

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Solution

The fourth proportional to 3,976.50, 5,955.53 and 3,838.11 is: 5,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.50 : 5,955.53 = 3,838.11 : x
  2. Step 2: Convert to fraction form
    3,976.50/5,955.53 = 3,838.11/x
  3. Step 3: Cross multiply
    3,976.50x = 5,955.53 × 3,838.11
  4. Step 4: Simplify right side
    3,976.50x = 22,857,971.22
  5. Step 5: Solve for x
    x = 22,857,971.22/3,976.50
  6. Step 6: Final answer
    x = 5,748.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.