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Finding the Fourth Proportional to 5,725.72, 8,571.28 and 5,178.16

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Solution

The fourth proportional to 5,725.72, 8,571.28 and 5,178.16 is: 7,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.72 : 8,571.28 = 5,178.16 : x
  2. Step 2: Convert to fraction form
    5,725.72/8,571.28 = 5,178.16/x
  3. Step 3: Cross multiply
    5,725.72x = 8,571.28 × 5,178.16
  4. Step 4: Simplify right side
    5,725.72x = 44,383,429.33
  5. Step 5: Solve for x
    x = 44,383,429.33/5,725.72
  6. Step 6: Final answer
    x = 7,751.60

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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.