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Finding the Fourth Proportional to 4,872.24, 7,311.32 and 1,794.48

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Solution

The fourth proportional to 4,872.24, 7,311.32 and 1,794.48 is: 2,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.24 : 7,311.32 = 1,794.48 : x
  2. Step 2: Convert to fraction form
    4,872.24/7,311.32 = 1,794.48/x
  3. Step 3: Cross multiply
    4,872.24x = 7,311.32 × 1,794.48
  4. Step 4: Simplify right side
    4,872.24x = 13,120,017.51
  5. Step 5: Solve for x
    x = 13,120,017.51/4,872.24
  6. Step 6: Final answer
    x = 2,692.81

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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.