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Finding the Fourth Proportional to 5,034.26, 7,553.10 and 1,571.60

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Solution

The fourth proportional to 5,034.26, 7,553.10 and 1,571.60 is: 2,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.26 : 7,553.10 = 1,571.60 : x
  2. Step 2: Convert to fraction form
    5,034.26/7,553.10 = 1,571.60/x
  3. Step 3: Cross multiply
    5,034.26x = 7,553.10 × 1,571.60
  4. Step 4: Simplify right side
    5,034.26x = 11,870,451.96
  5. Step 5: Solve for x
    x = 11,870,451.96/5,034.26
  6. Step 6: Final answer
    x = 2,357.93

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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.