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Finding the Fourth Proportional to 5,361.90, 8,041.77 and 3,411.42

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Solution

The fourth proportional to 5,361.90, 8,041.77 and 3,411.42 is: 5,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.90 : 8,041.77 = 3,411.42 : x
  2. Step 2: Convert to fraction form
    5,361.90/8,041.77 = 3,411.42/x
  3. Step 3: Cross multiply
    5,361.90x = 8,041.77 × 3,411.42
  4. Step 4: Simplify right side
    5,361.90x = 27,433,855.01
  5. Step 5: Solve for x
    x = 27,433,855.01/5,361.90
  6. Step 6: Final answer
    x = 5,116.44

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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.