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Finding the Fourth Proportional to 3,807.60, 5,704.86 and 3,422.41

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Solution

The fourth proportional to 3,807.60, 5,704.86 and 3,422.41 is: 5,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.60 : 5,704.86 = 3,422.41 : x
  2. Step 2: Convert to fraction form
    3,807.60/5,704.86 = 3,422.41/x
  3. Step 3: Cross multiply
    3,807.60x = 5,704.86 × 3,422.41
  4. Step 4: Simplify right side
    3,807.60x = 19,524,324.28
  5. Step 5: Solve for x
    x = 19,524,324.28/3,807.60
  6. Step 6: Final answer
    x = 5,127.73

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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.