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Finding the Fourth Proportional to 3,731.46, 5,599.62 and 1,422.96

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Solution

The fourth proportional to 3,731.46, 5,599.62 and 1,422.96 is: 2,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.46 : 5,599.62 = 1,422.96 : x
  2. Step 2: Convert to fraction form
    3,731.46/5,599.62 = 1,422.96/x
  3. Step 3: Cross multiply
    3,731.46x = 5,599.62 × 1,422.96
  4. Step 4: Simplify right side
    3,731.46x = 7,968,035.28
  5. Step 5: Solve for x
    x = 7,968,035.28/3,731.46
  6. Step 6: Final answer
    x = 2,135.37

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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.