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Finding the Fourth Proportional to 5,142.66, 7,096.83 and 2,905.26

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Solution

The fourth proportional to 5,142.66, 7,096.83 and 2,905.26 is: 4,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.66 : 7,096.83 = 2,905.26 : x
  2. Step 2: Convert to fraction form
    5,142.66/7,096.83 = 2,905.26/x
  3. Step 3: Cross multiply
    5,142.66x = 7,096.83 × 2,905.26
  4. Step 4: Simplify right side
    5,142.66x = 20,618,136.33
  5. Step 5: Solve for x
    x = 20,618,136.33/5,142.66
  6. Step 6: Final answer
    x = 4,009.24

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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.