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Finding the Fourth Proportional to 5,138.80, 7,706.92 and 1,441.12

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Solution

The fourth proportional to 5,138.80, 7,706.92 and 1,441.12 is: 2,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.80 : 7,706.92 = 1,441.12 : x
  2. Step 2: Convert to fraction form
    5,138.80/7,706.92 = 1,441.12/x
  3. Step 3: Cross multiply
    5,138.80x = 7,706.92 × 1,441.12
  4. Step 4: Simplify right side
    5,138.80x = 11,106,596.55
  5. Step 5: Solve for x
    x = 11,106,596.55/5,138.80
  6. Step 6: Final answer
    x = 2,161.32

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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.