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Finding the Fourth Proportional to 3,962.73, 5,941.29 and 1,740.48

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Solution

The fourth proportional to 3,962.73, 5,941.29 and 1,740.48 is: 2,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.73 : 5,941.29 = 1,740.48 : x
  2. Step 2: Convert to fraction form
    3,962.73/5,941.29 = 1,740.48/x
  3. Step 3: Cross multiply
    3,962.73x = 5,941.29 × 1,740.48
  4. Step 4: Simplify right side
    3,962.73x = 10,340,696.42
  5. Step 5: Solve for x
    x = 10,340,696.42/3,962.73
  6. Step 6: Final answer
    x = 2,609.49

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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.