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Finding the Fourth Proportional to 3,092.72, 4,636.44 and 1,144.56

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Solution

The fourth proportional to 3,092.72, 4,636.44 and 1,144.56 is: 1,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.72 : 4,636.44 = 1,144.56 : x
  2. Step 2: Convert to fraction form
    3,092.72/4,636.44 = 1,144.56/x
  3. Step 3: Cross multiply
    3,092.72x = 4,636.44 × 1,144.56
  4. Step 4: Simplify right side
    3,092.72x = 5,306,683.77
  5. Step 5: Solve for x
    x = 5,306,683.77/3,092.72
  6. Step 6: Final answer
    x = 1,715.86

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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.