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Finding the Fourth Proportional to 5,919.50, 8,169.72 and 3,435.50

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Solution

The fourth proportional to 5,919.50, 8,169.72 and 3,435.50 is: 4,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.50 : 8,169.72 = 3,435.50 : x
  2. Step 2: Convert to fraction form
    5,919.50/8,169.72 = 3,435.50/x
  3. Step 3: Cross multiply
    5,919.50x = 8,169.72 × 3,435.50
  4. Step 4: Simplify right side
    5,919.50x = 28,067,073.06
  5. Step 5: Solve for x
    x = 28,067,073.06/5,919.50
  6. Step 6: Final answer
    x = 4,741.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.