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Finding the Fourth Proportional to 3,499.22, 5,249.01 and 1,418.91

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Solution

The fourth proportional to 3,499.22, 5,249.01 and 1,418.91 is: 2,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.22 : 5,249.01 = 1,418.91 : x
  2. Step 2: Convert to fraction form
    3,499.22/5,249.01 = 1,418.91/x
  3. Step 3: Cross multiply
    3,499.22x = 5,249.01 × 1,418.91
  4. Step 4: Simplify right side
    3,499.22x = 7,447,878.10
  5. Step 5: Solve for x
    x = 7,447,878.10/3,499.22
  6. Step 6: Final answer
    x = 2,128.44

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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.