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Finding the Fourth Proportional to 3,499.65, 5,249.72 and 1,419.61

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Solution

The fourth proportional to 3,499.65, 5,249.72 and 1,419.61 is: 2,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.65 : 5,249.72 = 1,419.61 : x
  2. Step 2: Convert to fraction form
    3,499.65/5,249.72 = 1,419.61/x
  3. Step 3: Cross multiply
    3,499.65x = 5,249.72 × 1,419.61
  4. Step 4: Simplify right side
    3,499.65x = 7,452,555.28
  5. Step 5: Solve for x
    x = 7,452,555.28/3,499.65
  6. Step 6: Final answer
    x = 2,129.51

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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.