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Finding the Fourth Proportional to 5,108.10, 7,663.80 and 2,509.22

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Solution

The fourth proportional to 5,108.10, 7,663.80 and 2,509.22 is: 3,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.10 : 7,663.80 = 2,509.22 : x
  2. Step 2: Convert to fraction form
    5,108.10/7,663.80 = 2,509.22/x
  3. Step 3: Cross multiply
    5,108.10x = 7,663.80 × 2,509.22
  4. Step 4: Simplify right side
    5,108.10x = 19,230,121.92
  5. Step 5: Solve for x
    x = 19,230,121.92/5,108.10
  6. Step 6: Final answer
    x = 3,764.63

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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.