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Finding the Fourth Proportional to 5,614.23, 7,747.46 and 3,096.45

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Solution

The fourth proportional to 5,614.23, 7,747.46 and 3,096.45 is: 4,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.23 : 7,747.46 = 3,096.45 : x
  2. Step 2: Convert to fraction form
    5,614.23/7,747.46 = 3,096.45/x
  3. Step 3: Cross multiply
    5,614.23x = 7,747.46 × 3,096.45
  4. Step 4: Simplify right side
    5,614.23x = 23,989,622.52
  5. Step 5: Solve for x
    x = 23,989,622.52/5,614.23
  6. Step 6: Final answer
    x = 4,273.00

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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.