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Finding the Fourth Proportional to 3,707.58, 5,556.73 and 1,755.90

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Solution

The fourth proportional to 3,707.58, 5,556.73 and 1,755.90 is: 2,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.58 : 5,556.73 = 1,755.90 : x
  2. Step 2: Convert to fraction form
    3,707.58/5,556.73 = 1,755.90/x
  3. Step 3: Cross multiply
    3,707.58x = 5,556.73 × 1,755.90
  4. Step 4: Simplify right side
    3,707.58x = 9,757,062.21
  5. Step 5: Solve for x
    x = 9,757,062.21/3,707.58
  6. Step 6: Final answer
    x = 2,631.65

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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.