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Finding the Fourth Proportional to 5,704.68, 7,872.01 and 3,152.33

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Solution

The fourth proportional to 5,704.68, 7,872.01 and 3,152.33 is: 4,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.68 : 7,872.01 = 3,152.33 : x
  2. Step 2: Convert to fraction form
    5,704.68/7,872.01 = 3,152.33/x
  3. Step 3: Cross multiply
    5,704.68x = 7,872.01 × 3,152.33
  4. Step 4: Simplify right side
    5,704.68x = 24,815,145.60
  5. Step 5: Solve for x
    x = 24,815,145.60/5,704.68
  6. Step 6: Final answer
    x = 4,349.97

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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.