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Finding the Fourth Proportional to 3,207.72, 4,807.24 and 2,827.56

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Solution

The fourth proportional to 3,207.72, 4,807.24 and 2,827.56 is: 4,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.72 : 4,807.24 = 2,827.56 : x
  2. Step 2: Convert to fraction form
    3,207.72/4,807.24 = 2,827.56/x
  3. Step 3: Cross multiply
    3,207.72x = 4,807.24 × 2,827.56
  4. Step 4: Simplify right side
    3,207.72x = 13,592,759.53
  5. Step 5: Solve for x
    x = 13,592,759.53/3,207.72
  6. Step 6: Final answer
    x = 4,237.51

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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.