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Finding the Fourth Proportional to 3,096.27, 4,644.92 and 1,536.34

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Solution

The fourth proportional to 3,096.27, 4,644.92 and 1,536.34 is: 2,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.27 : 4,644.92 = 1,536.34 : x
  2. Step 2: Convert to fraction form
    3,096.27/4,644.92 = 1,536.34/x
  3. Step 3: Cross multiply
    3,096.27x = 4,644.92 × 1,536.34
  4. Step 4: Simplify right side
    3,096.27x = 7,136,176.39
  5. Step 5: Solve for x
    x = 7,136,176.39/3,096.27
  6. Step 6: Final answer
    x = 2,304.77

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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.