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Finding the Fourth Proportional to 5,180.73, 7,149.41 and 2,823.02

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Solution

The fourth proportional to 5,180.73, 7,149.41 and 2,823.02 is: 3,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.73 : 7,149.41 = 2,823.02 : x
  2. Step 2: Convert to fraction form
    5,180.73/7,149.41 = 2,823.02/x
  3. Step 3: Cross multiply
    5,180.73x = 7,149.41 × 2,823.02
  4. Step 4: Simplify right side
    5,180.73x = 20,182,930.83
  5. Step 5: Solve for x
    x = 20,182,930.83/5,180.73
  6. Step 6: Final answer
    x = 3,895.77

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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.