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Finding the Fourth Proportional to 5,107.60, 7,650.63 and 2,336.60

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Solution

The fourth proportional to 5,107.60, 7,650.63 and 2,336.60 is: 3,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.60 : 7,650.63 = 2,336.60 : x
  2. Step 2: Convert to fraction form
    5,107.60/7,650.63 = 2,336.60/x
  3. Step 3: Cross multiply
    5,107.60x = 7,650.63 × 2,336.60
  4. Step 4: Simplify right side
    5,107.60x = 17,876,481.18
  5. Step 5: Solve for x
    x = 17,876,481.18/5,107.60
  6. Step 6: Final answer
    x = 3,499.98

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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.