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Finding the Fourth Proportional to 5,142.22, 7,096.22 and 2,904.07

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Solution

The fourth proportional to 5,142.22, 7,096.22 and 2,904.07 is: 4,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.22 : 7,096.22 = 2,904.07 : x
  2. Step 2: Convert to fraction form
    5,142.22/7,096.22 = 2,904.07/x
  3. Step 3: Cross multiply
    5,142.22x = 7,096.22 × 2,904.07
  4. Step 4: Simplify right side
    5,142.22x = 20,607,919.62
  5. Step 5: Solve for x
    x = 20,607,919.62/5,142.22
  6. Step 6: Final answer
    x = 4,007.59

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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.