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Finding the Fourth Proportional to 3,578.67, 5,365.80 and 1,603.22

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Solution

The fourth proportional to 3,578.67, 5,365.80 and 1,603.22 is: 2,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.67 : 5,365.80 = 1,603.22 : x
  2. Step 2: Convert to fraction form
    3,578.67/5,365.80 = 1,603.22/x
  3. Step 3: Cross multiply
    3,578.67x = 5,365.80 × 1,603.22
  4. Step 4: Simplify right side
    3,578.67x = 8,602,531.05
  5. Step 5: Solve for x
    x = 8,602,531.05/3,578.67
  6. Step 6: Final answer
    x = 2,403.83

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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.