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Finding the Fourth Proportional to 3,755.48, 5,634.18 and 1,703

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Solution

The fourth proportional to 3,755.48, 5,634.18 and 1,703 is: 2,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.48 : 5,634.18 = 1,703 : x
  2. Step 2: Convert to fraction form
    3,755.48/5,634.18 = 1,703/x
  3. Step 3: Cross multiply
    3,755.48x = 5,634.18 × 1,703
  4. Step 4: Simplify right side
    3,755.48x = 9,595,008.54
  5. Step 5: Solve for x
    x = 9,595,008.54/3,755.48
  6. Step 6: Final answer
    x = 2,554.94

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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.