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Finding the Fourth Proportional to 5,142.12, 7,709.94 and 2,835.24

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Solution

The fourth proportional to 5,142.12, 7,709.94 and 2,835.24 is: 4,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.12 : 7,709.94 = 2,835.24 : x
  2. Step 2: Convert to fraction form
    5,142.12/7,709.94 = 2,835.24/x
  3. Step 3: Cross multiply
    5,142.12x = 7,709.94 × 2,835.24
  4. Step 4: Simplify right side
    5,142.12x = 21,859,530.29
  5. Step 5: Solve for x
    x = 21,859,530.29/5,142.12
  6. Step 6: Final answer
    x = 4,251.07

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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.