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Finding the Fourth Proportional to 5,134.86, 7,697.23 and 2,012.92

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Solution

The fourth proportional to 5,134.86, 7,697.23 and 2,012.92 is: 3,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.86 : 7,697.23 = 2,012.92 : x
  2. Step 2: Convert to fraction form
    5,134.86/7,697.23 = 2,012.92/x
  3. Step 3: Cross multiply
    5,134.86x = 7,697.23 × 2,012.92
  4. Step 4: Simplify right side
    5,134.86x = 15,493,883.94
  5. Step 5: Solve for x
    x = 15,493,883.94/5,134.86
  6. Step 6: Final answer
    x = 3,017.39

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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.