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Finding the Fourth Proportional to 3,731.22, 5,597.60 and 1,265.97

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Solution

The fourth proportional to 3,731.22, 5,597.60 and 1,265.97 is: 1,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.22 : 5,597.60 = 1,265.97 : x
  2. Step 2: Convert to fraction form
    3,731.22/5,597.60 = 1,265.97/x
  3. Step 3: Cross multiply
    3,731.22x = 5,597.60 × 1,265.97
  4. Step 4: Simplify right side
    3,731.22x = 7,086,387.34
  5. Step 5: Solve for x
    x = 7,086,387.34/3,731.22
  6. Step 6: Final answer
    x = 1,899.21

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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.