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Finding the Fourth Proportional to 3,406.17, 5,111.42 and 1,847.24

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Solution

The fourth proportional to 3,406.17, 5,111.42 and 1,847.24 is: 2,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.17 : 5,111.42 = 1,847.24 : x
  2. Step 2: Convert to fraction form
    3,406.17/5,111.42 = 1,847.24/x
  3. Step 3: Cross multiply
    3,406.17x = 5,111.42 × 1,847.24
  4. Step 4: Simplify right side
    3,406.17x = 9,441,984.69
  5. Step 5: Solve for x
    x = 9,441,984.69/3,406.17
  6. Step 6: Final answer
    x = 2,772.02

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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.