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Finding the Fourth Proportional to 3,941.49, 5,905.28 and 3,512.46

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Solution

The fourth proportional to 3,941.49, 5,905.28 and 3,512.46 is: 5,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.49 : 5,905.28 = 3,512.46 : x
  2. Step 2: Convert to fraction form
    3,941.49/5,905.28 = 3,512.46/x
  3. Step 3: Cross multiply
    3,941.49x = 5,905.28 × 3,512.46
  4. Step 4: Simplify right side
    3,941.49x = 20,742,042.23
  5. Step 5: Solve for x
    x = 20,742,042.23/3,941.49
  6. Step 6: Final answer
    x = 5,262.49

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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.