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Finding the Fourth Proportional to 6,405.41, 9,608.61 and 2,458.56

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Solution

The fourth proportional to 6,405.41, 9,608.61 and 2,458.56 is: 3,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.41 : 9,608.61 = 2,458.56 : x
  2. Step 2: Convert to fraction form
    6,405.41/9,608.61 = 2,458.56/x
  3. Step 3: Cross multiply
    6,405.41x = 9,608.61 × 2,458.56
  4. Step 4: Simplify right side
    6,405.41x = 23,623,320.18
  5. Step 5: Solve for x
    x = 23,623,320.18/6,405.41
  6. Step 6: Final answer
    x = 3,688.03

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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.