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Finding the Fourth Proportional to 3,794.16, 5,232.96 and 2,614.80

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Solution

The fourth proportional to 3,794.16, 5,232.96 and 2,614.80 is: 3,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.16 : 5,232.96 = 2,614.80 : x
  2. Step 2: Convert to fraction form
    3,794.16/5,232.96 = 2,614.80/x
  3. Step 3: Cross multiply
    3,794.16x = 5,232.96 × 2,614.80
  4. Step 4: Simplify right side
    3,794.16x = 13,683,143.81
  5. Step 5: Solve for x
    x = 13,683,143.81/3,794.16
  6. Step 6: Final answer
    x = 3,606.37

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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.