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Finding the Fourth Proportional to 5,108.40, 7,664.40 and 2,509.60

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Solution

The fourth proportional to 5,108.40, 7,664.40 and 2,509.60 is: 3,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.40 : 7,664.40 = 2,509.60 : x
  2. Step 2: Convert to fraction form
    5,108.40/7,664.40 = 2,509.60/x
  3. Step 3: Cross multiply
    5,108.40x = 7,664.40 × 2,509.60
  4. Step 4: Simplify right side
    5,108.40x = 19,234,578.24
  5. Step 5: Solve for x
    x = 19,234,578.24/5,108.40
  6. Step 6: Final answer
    x = 3,765.28

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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.