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Finding the Fourth Proportional to 4,498.38, 6,745.68 and 1,575.09

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Solution

The fourth proportional to 4,498.38, 6,745.68 and 1,575.09 is: 2,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.38 : 6,745.68 = 1,575.09 : x
  2. Step 2: Convert to fraction form
    4,498.38/6,745.68 = 1,575.09/x
  3. Step 3: Cross multiply
    4,498.38x = 6,745.68 × 1,575.09
  4. Step 4: Simplify right side
    4,498.38x = 10,625,053.11
  5. Step 5: Solve for x
    x = 10,625,053.11/4,498.38
  6. Step 6: Final answer
    x = 2,361.97

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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.