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Finding the Fourth Proportional to 5,114.73, 7,673.22 and 3,036.63

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Solution

The fourth proportional to 5,114.73, 7,673.22 and 3,036.63 is: 4,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.73 : 7,673.22 = 3,036.63 : x
  2. Step 2: Convert to fraction form
    5,114.73/7,673.22 = 3,036.63/x
  3. Step 3: Cross multiply
    5,114.73x = 7,673.22 × 3,036.63
  4. Step 4: Simplify right side
    5,114.73x = 23,300,730.05
  5. Step 5: Solve for x
    x = 23,300,730.05/5,114.73
  6. Step 6: Final answer
    x = 4,555.61

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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.