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Finding the Fourth Proportional to 3,761.96, 5,603.21 and 3,564.38

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Solution

The fourth proportional to 3,761.96, 5,603.21 and 3,564.38 is: 5,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.96 : 5,603.21 = 3,564.38 : x
  2. Step 2: Convert to fraction form
    3,761.96/5,603.21 = 3,564.38/x
  3. Step 3: Cross multiply
    3,761.96x = 5,603.21 × 3,564.38
  4. Step 4: Simplify right side
    3,761.96x = 19,971,992.58
  5. Step 5: Solve for x
    x = 19,971,992.58/3,761.96
  6. Step 6: Final answer
    x = 5,308.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.