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Finding the Fourth Proportional to 5,704.75, 7,872.56 and 3,220.75

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Solution

The fourth proportional to 5,704.75, 7,872.56 and 3,220.75 is: 4,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.75 : 7,872.56 = 3,220.75 : x
  2. Step 2: Convert to fraction form
    5,704.75/7,872.56 = 3,220.75/x
  3. Step 3: Cross multiply
    5,704.75x = 7,872.56 × 3,220.75
  4. Step 4: Simplify right side
    5,704.75x = 25,355,547.62
  5. Step 5: Solve for x
    x = 25,355,547.62/5,704.75
  6. Step 6: Final answer
    x = 4,444.64

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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.