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Finding the Fourth Proportional to 4,914.42, 7,375.20 and 3,685.14

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Solution

The fourth proportional to 4,914.42, 7,375.20 and 3,685.14 is: 5,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.42 : 7,375.20 = 3,685.14 : x
  2. Step 2: Convert to fraction form
    4,914.42/7,375.20 = 3,685.14/x
  3. Step 3: Cross multiply
    4,914.42x = 7,375.20 × 3,685.14
  4. Step 4: Simplify right side
    4,914.42x = 27,178,626.10
  5. Step 5: Solve for x
    x = 27,178,626.10/4,914.42
  6. Step 6: Final answer
    x = 5,530.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.