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Finding the Fourth Proportional to 3,500.67, 5,249.23 and 1,159.83

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Solution

The fourth proportional to 3,500.67, 5,249.23 and 1,159.83 is: 1,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.67 : 5,249.23 = 1,159.83 : x
  2. Step 2: Convert to fraction form
    3,500.67/5,249.23 = 1,159.83/x
  3. Step 3: Cross multiply
    3,500.67x = 5,249.23 × 1,159.83
  4. Step 4: Simplify right side
    3,500.67x = 6,088,214.43
  5. Step 5: Solve for x
    x = 6,088,214.43/3,500.67
  6. Step 6: Final answer
    x = 1,739.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.