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Finding the Fourth Proportional to 3,605.91, 5,406.66 and 1,755.15

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Solution

The fourth proportional to 3,605.91, 5,406.66 and 1,755.15 is: 2,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.91 : 5,406.66 = 1,755.15 : x
  2. Step 2: Convert to fraction form
    3,605.91/5,406.66 = 1,755.15/x
  3. Step 3: Cross multiply
    3,605.91x = 5,406.66 × 1,755.15
  4. Step 4: Simplify right side
    3,605.91x = 9,489,499.30
  5. Step 5: Solve for x
    x = 9,489,499.30/3,605.91
  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.