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Finding the Fourth Proportional to 5,874.13, 8,107.32 and 3,517.64

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Solution

The fourth proportional to 5,874.13, 8,107.32 and 3,517.64 is: 4,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.13 : 8,107.32 = 3,517.64 : x
  2. Step 2: Convert to fraction form
    5,874.13/8,107.32 = 3,517.64/x
  3. Step 3: Cross multiply
    5,874.13x = 8,107.32 × 3,517.64
  4. Step 4: Simplify right side
    5,874.13x = 28,518,633.12
  5. Step 5: Solve for x
    x = 28,518,633.12/5,874.13
  6. Step 6: Final answer
    x = 4,854.95

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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.