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Finding the Fourth Proportional to 6,405.28, 9,608.42 and 2,458.45

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Solution

The fourth proportional to 6,405.28, 9,608.42 and 2,458.45 is: 3,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.28 : 9,608.42 = 2,458.45 : x
  2. Step 2: Convert to fraction form
    6,405.28/9,608.42 = 2,458.45/x
  3. Step 3: Cross multiply
    6,405.28x = 9,608.42 × 2,458.45
  4. Step 4: Simplify right side
    6,405.28x = 23,621,838.31
  5. Step 5: Solve for x
    x = 23,621,838.31/6,405.28
  6. Step 6: Final answer
    x = 3,687.87

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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.