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Finding the Fourth Proportional to 5,633.60, 8,451 and 2,344.86

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Solution

The fourth proportional to 5,633.60, 8,451 and 2,344.86 is: 3,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.60 : 8,451 = 2,344.86 : x
  2. Step 2: Convert to fraction form
    5,633.60/8,451 = 2,344.86/x
  3. Step 3: Cross multiply
    5,633.60x = 8,451 × 2,344.86
  4. Step 4: Simplify right side
    5,633.60x = 19,816,411.86
  5. Step 5: Solve for x
    x = 19,816,411.86/5,633.60
  6. Step 6: Final answer
    x = 3,517.54

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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.