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Finding the Fourth Proportional to 3,703.25, 5,557.61 and 1,755.46

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Solution

The fourth proportional to 3,703.25, 5,557.61 and 1,755.46 is: 2,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.25 : 5,557.61 = 1,755.46 : x
  2. Step 2: Convert to fraction form
    3,703.25/5,557.61 = 1,755.46/x
  3. Step 3: Cross multiply
    3,703.25x = 5,557.61 × 1,755.46
  4. Step 4: Simplify right side
    3,703.25x = 9,756,162.05
  5. Step 5: Solve for x
    x = 9,756,162.05/3,703.25
  6. Step 6: Final answer
    x = 2,634.49

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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.