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Finding the Fourth Proportional to 3,798.64, 5,668.52 and 3,361.24

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Solution

The fourth proportional to 3,798.64, 5,668.52 and 3,361.24 is: 5,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.64 : 5,668.52 = 3,361.24 : x
  2. Step 2: Convert to fraction form
    3,798.64/5,668.52 = 3,361.24/x
  3. Step 3: Cross multiply
    3,798.64x = 5,668.52 × 3,361.24
  4. Step 4: Simplify right side
    3,798.64x = 19,053,256.16
  5. Step 5: Solve for x
    x = 19,053,256.16/3,798.64
  6. Step 6: Final answer
    x = 5,015.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.