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Finding the Fourth Proportional to 3,755.76, 5,634 and 982.44

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Solution

The fourth proportional to 3,755.76, 5,634 and 982.44 is: 1,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.76 : 5,634 = 982.44 : x
  2. Step 2: Convert to fraction form
    3,755.76/5,634 = 982.44/x
  3. Step 3: Cross multiply
    3,755.76x = 5,634 × 982.44
  4. Step 4: Simplify right side
    3,755.76x = 5,535,066.96
  5. Step 5: Solve for x
    x = 5,535,066.96/3,755.76
  6. Step 6: Final answer
    x = 1,473.75

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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.