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Finding the Fourth Proportional to 3,463.62, 5,195.42 and 866.55

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Solution

The fourth proportional to 3,463.62, 5,195.42 and 866.55 is: 1,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.62 : 5,195.42 = 866.55 : x
  2. Step 2: Convert to fraction form
    3,463.62/5,195.42 = 866.55/x
  3. Step 3: Cross multiply
    3,463.62x = 5,195.42 × 866.55
  4. Step 4: Simplify right side
    3,463.62x = 4,502,106.36
  5. Step 5: Solve for x
    x = 4,502,106.36/3,463.62
  6. Step 6: Final answer
    x = 1,299.83

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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.