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Finding the Fourth Proportional to 4,892.57, 7,335.73 and 3,224.77

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Solution

The fourth proportional to 4,892.57, 7,335.73 and 3,224.77 is: 4,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.57 : 7,335.73 = 3,224.77 : x
  2. Step 2: Convert to fraction form
    4,892.57/7,335.73 = 3,224.77/x
  3. Step 3: Cross multiply
    4,892.57x = 7,335.73 × 3,224.77
  4. Step 4: Simplify right side
    4,892.57x = 23,656,027.72
  5. Step 5: Solve for x
    x = 23,656,027.72/4,892.57
  6. Step 6: Final answer
    x = 4,835.09

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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.