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Finding the Fourth Proportional to 5,585.75, 8,361.30 and 5,173.86

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Solution

The fourth proportional to 5,585.75, 8,361.30 and 5,173.86 is: 7,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.75 : 8,361.30 = 5,173.86 : x
  2. Step 2: Convert to fraction form
    5,585.75/8,361.30 = 5,173.86/x
  3. Step 3: Cross multiply
    5,585.75x = 8,361.30 × 5,173.86
  4. Step 4: Simplify right side
    5,585.75x = 43,260,195.62
  5. Step 5: Solve for x
    x = 43,260,195.62/5,585.75
  6. Step 6: Final answer
    x = 7,744.74

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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.