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Finding the Fourth Proportional to 6,410.10, 9,608.52 and 2,460.31

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Solution

The fourth proportional to 6,410.10, 9,608.52 and 2,460.31 is: 3,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.10 : 9,608.52 = 2,460.31 : x
  2. Step 2: Convert to fraction form
    6,410.10/9,608.52 = 2,460.31/x
  3. Step 3: Cross multiply
    6,410.10x = 9,608.52 × 2,460.31
  4. Step 4: Simplify right side
    6,410.10x = 23,639,923.05
  5. Step 5: Solve for x
    x = 23,639,923.05/6,410.10
  6. Step 6: Final answer
    x = 3,687.92

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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.