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Finding the Fourth Proportional to 5,142.25, 7,096.25 and 2,904.09

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Solution

The fourth proportional to 5,142.25, 7,096.25 and 2,904.09 is: 4,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.25 : 7,096.25 = 2,904.09 : x
  2. Step 2: Convert to fraction form
    5,142.25/7,096.25 = 2,904.09/x
  3. Step 3: Cross multiply
    5,142.25x = 7,096.25 × 2,904.09
  4. Step 4: Simplify right side
    5,142.25x = 20,608,113.18
  5. Step 5: Solve for x
    x = 20,608,113.18/5,142.25
  6. Step 6: Final answer
    x = 4,007.61

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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.