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Finding the Fourth Proportional to 3,822.88, 5,731.07 and 1,742.15

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Solution

The fourth proportional to 3,822.88, 5,731.07 and 1,742.15 is: 2,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.88 : 5,731.07 = 1,742.15 : x
  2. Step 2: Convert to fraction form
    3,822.88/5,731.07 = 1,742.15/x
  3. Step 3: Cross multiply
    3,822.88x = 5,731.07 × 1,742.15
  4. Step 4: Simplify right side
    3,822.88x = 9,984,346.23
  5. Step 5: Solve for x
    x = 9,984,346.23/3,822.88
  6. Step 6: Final answer
    x = 2,611.74

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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.