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Finding the Fourth Proportional to 5,824.75, 8,737.14 and 2,704.36

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Solution

The fourth proportional to 5,824.75, 8,737.14 and 2,704.36 is: 4,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.75 : 8,737.14 = 2,704.36 : x
  2. Step 2: Convert to fraction form
    5,824.75/8,737.14 = 2,704.36/x
  3. Step 3: Cross multiply
    5,824.75x = 8,737.14 × 2,704.36
  4. Step 4: Simplify right side
    5,824.75x = 23,628,339.95
  5. Step 5: Solve for x
    x = 23,628,339.95/5,824.75
  6. Step 6: Final answer
    x = 4,056.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.