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Finding the Fourth Proportional to 3,757.46, 5,636.50 and 1,292.28

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Solution

The fourth proportional to 3,757.46, 5,636.50 and 1,292.28 is: 1,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.46 : 5,636.50 = 1,292.28 : x
  2. Step 2: Convert to fraction form
    3,757.46/5,636.50 = 1,292.28/x
  3. Step 3: Cross multiply
    3,757.46x = 5,636.50 × 1,292.28
  4. Step 4: Simplify right side
    3,757.46x = 7,283,936.22
  5. Step 5: Solve for x
    x = 7,283,936.22/3,757.46
  6. Step 6: Final answer
    x = 1,938.53

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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.