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Finding the Fourth Proportional to 6,419.74, 9,625.46 and 2,524.54

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Solution

The fourth proportional to 6,419.74, 9,625.46 and 2,524.54 is: 3,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.74 : 9,625.46 = 2,524.54 : x
  2. Step 2: Convert to fraction form
    6,419.74/9,625.46 = 2,524.54/x
  3. Step 3: Cross multiply
    6,419.74x = 9,625.46 × 2,524.54
  4. Step 4: Simplify right side
    6,419.74x = 24,299,858.79
  5. Step 5: Solve for x
    x = 24,299,858.79/6,419.74
  6. Step 6: Final answer
    x = 3,785.18

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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.