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Finding the Fourth Proportional to 5,704.65, 7,872.53 and 3,580.26

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Solution

The fourth proportional to 5,704.65, 7,872.53 and 3,580.26 is: 4,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.65 : 7,872.53 = 3,580.26 : x
  2. Step 2: Convert to fraction form
    5,704.65/7,872.53 = 3,580.26/x
  3. Step 3: Cross multiply
    5,704.65x = 7,872.53 × 3,580.26
  4. Step 4: Simplify right side
    5,704.65x = 28,185,704.26
  5. Step 5: Solve for x
    x = 28,185,704.26/5,704.65
  6. Step 6: Final answer
    x = 4,940.83

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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.