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Finding the Fourth Proportional to 3,451.53, 5,178.15 and 986.37

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Solution

The fourth proportional to 3,451.53, 5,178.15 and 986.37 is: 1,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.53 : 5,178.15 = 986.37 : x
  2. Step 2: Convert to fraction form
    3,451.53/5,178.15 = 986.37/x
  3. Step 3: Cross multiply
    3,451.53x = 5,178.15 × 986.37
  4. Step 4: Simplify right side
    3,451.53x = 5,107,571.82
  5. Step 5: Solve for x
    x = 5,107,571.82/3,451.53
  6. Step 6: Final answer
    x = 1,479.80

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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.