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Finding the Fourth Proportional to 5,113.56, 7,668.72 and 3,036.46

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Solution

The fourth proportional to 5,113.56, 7,668.72 and 3,036.46 is: 4,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.56 : 7,668.72 = 3,036.46 : x
  2. Step 2: Convert to fraction form
    5,113.56/7,668.72 = 3,036.46/x
  3. Step 3: Cross multiply
    5,113.56x = 7,668.72 × 3,036.46
  4. Step 4: Simplify right side
    5,113.56x = 23,285,761.53
  5. Step 5: Solve for x
    x = 23,285,761.53/5,113.56
  6. Step 6: Final answer
    x = 4,553.73

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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.