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Finding the Fourth Proportional to 5,024.44, 6,930.16 and 3,136.96

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Solution

The fourth proportional to 5,024.44, 6,930.16 and 3,136.96 is: 4,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.44 : 6,930.16 = 3,136.96 : x
  2. Step 2: Convert to fraction form
    5,024.44/6,930.16 = 3,136.96/x
  3. Step 3: Cross multiply
    5,024.44x = 6,930.16 × 3,136.96
  4. Step 4: Simplify right side
    5,024.44x = 21,739,634.71
  5. Step 5: Solve for x
    x = 21,739,634.71/5,024.44
  6. Step 6: Final answer
    x = 4,326.78

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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.