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Finding the Fourth Proportional to 3,096.38, 4,640.31 and 2,053.62

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Solution

The fourth proportional to 3,096.38, 4,640.31 and 2,053.62 is: 3,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.38 : 4,640.31 = 2,053.62 : x
  2. Step 2: Convert to fraction form
    3,096.38/4,640.31 = 2,053.62/x
  3. Step 3: Cross multiply
    3,096.38x = 4,640.31 × 2,053.62
  4. Step 4: Simplify right side
    3,096.38x = 9,529,433.42
  5. Step 5: Solve for x
    x = 9,529,433.42/3,096.38
  6. Step 6: Final answer
    x = 3,077.60

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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.