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Finding the Fourth Proportional to 5,498.69, 8,249.32 and 1,800.91

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Solution

The fourth proportional to 5,498.69, 8,249.32 and 1,800.91 is: 2,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.69 : 8,249.32 = 1,800.91 : x
  2. Step 2: Convert to fraction form
    5,498.69/8,249.32 = 1,800.91/x
  3. Step 3: Cross multiply
    5,498.69x = 8,249.32 × 1,800.91
  4. Step 4: Simplify right side
    5,498.69x = 14,856,241.63
  5. Step 5: Solve for x
    x = 14,856,241.63/5,498.69
  6. Step 6: Final answer
    x = 2,701.78

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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.