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Finding the Fourth Proportional to 5,813.86, 8,025.23 and 3,578.72

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Solution

The fourth proportional to 5,813.86, 8,025.23 and 3,578.72 is: 4,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.86 : 8,025.23 = 3,578.72 : x
  2. Step 2: Convert to fraction form
    5,813.86/8,025.23 = 3,578.72/x
  3. Step 3: Cross multiply
    5,813.86x = 8,025.23 × 3,578.72
  4. Step 4: Simplify right side
    5,813.86x = 28,720,033.21
  5. Step 5: Solve for x
    x = 28,720,033.21/5,813.86
  6. Step 6: Final answer
    x = 4,939.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.