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Finding the Fourth Proportional to 5,174.86, 7,754.19 and 2,053.18

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Solution

The fourth proportional to 5,174.86, 7,754.19 and 2,053.18 is: 3,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.86 : 7,754.19 = 2,053.18 : x
  2. Step 2: Convert to fraction form
    5,174.86/7,754.19 = 2,053.18/x
  3. Step 3: Cross multiply
    5,174.86x = 7,754.19 × 2,053.18
  4. Step 4: Simplify right side
    5,174.86x = 15,920,747.82
  5. Step 5: Solve for x
    x = 15,920,747.82/5,174.86
  6. Step 6: Final answer
    x = 3,076.56

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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.