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Finding the Fourth Proportional to 5,072.64, 7,602.24 and 3,217.92

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Solution

The fourth proportional to 5,072.64, 7,602.24 and 3,217.92 is: 4,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.64 : 7,602.24 = 3,217.92 : x
  2. Step 2: Convert to fraction form
    5,072.64/7,602.24 = 3,217.92/x
  3. Step 3: Cross multiply
    5,072.64x = 7,602.24 × 3,217.92
  4. Step 4: Simplify right side
    5,072.64x = 24,463,400.14
  5. Step 5: Solve for x
    x = 24,463,400.14/5,072.64
  6. Step 6: Final answer
    x = 4,822.62

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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.