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Finding the Fourth Proportional to 5,649.94, 8,468.83 and 2,361.34

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Solution

The fourth proportional to 5,649.94, 8,468.83 and 2,361.34 is: 3,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.94 : 8,468.83 = 2,361.34 : x
  2. Step 2: Convert to fraction form
    5,649.94/8,468.83 = 2,361.34/x
  3. Step 3: Cross multiply
    5,649.94x = 8,468.83 × 2,361.34
  4. Step 4: Simplify right side
    5,649.94x = 19,997,787.03
  5. Step 5: Solve for x
    x = 19,997,787.03/5,649.94
  6. Step 6: Final answer
    x = 3,539.47

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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.