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Finding the Fourth Proportional to 5,825.62, 8,737.07 and 2,314.12

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Solution

The fourth proportional to 5,825.62, 8,737.07 and 2,314.12 is: 3,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.62 : 8,737.07 = 2,314.12 : x
  2. Step 2: Convert to fraction form
    5,825.62/8,737.07 = 2,314.12/x
  3. Step 3: Cross multiply
    5,825.62x = 8,737.07 × 2,314.12
  4. Step 4: Simplify right side
    5,825.62x = 20,218,611.40
  5. Step 5: Solve for x
    x = 20,218,611.40/5,825.62
  6. Step 6: Final answer
    x = 3,470.64

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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.