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Finding the Fourth Proportional to 6,410.60, 9,608.70 and 3,289.40

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Solution

The fourth proportional to 6,410.60, 9,608.70 and 3,289.40 is: 4,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.60 : 9,608.70 = 3,289.40 : x
  2. Step 2: Convert to fraction form
    6,410.60/9,608.70 = 3,289.40/x
  3. Step 3: Cross multiply
    6,410.60x = 9,608.70 × 3,289.40
  4. Step 4: Simplify right side
    6,410.60x = 31,606,857.78
  5. Step 5: Solve for x
    x = 31,606,857.78/6,410.60
  6. Step 6: Final answer
    x = 4,930.41

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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.