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Finding the Fourth Proportional to 4,474.50, 6,180.62 and 3,405.77

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Solution

The fourth proportional to 4,474.50, 6,180.62 and 3,405.77 is: 4,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.50 : 6,180.62 = 3,405.77 : x
  2. Step 2: Convert to fraction form
    4,474.50/6,180.62 = 3,405.77/x
  3. Step 3: Cross multiply
    4,474.50x = 6,180.62 × 3,405.77
  4. Step 4: Simplify right side
    4,474.50x = 21,049,770.18
  5. Step 5: Solve for x
    x = 21,049,770.18/4,474.50
  6. Step 6: Final answer
    x = 4,704.38

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Why These Related Problems?

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