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Finding the Fourth Proportional to 3,637.44, 5,022 and 3,174.12

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Solution

The fourth proportional to 3,637.44, 5,022 and 3,174.12 is: 4,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.44 : 5,022 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    3,637.44/5,022 = 3,174.12/x
  3. Step 3: Cross multiply
    3,637.44x = 5,022 × 3,174.12
  4. Step 4: Simplify right side
    3,637.44x = 15,940,430.64
  5. Step 5: Solve for x
    x = 15,940,430.64/3,637.44
  6. Step 6: Final answer
    x = 4,382.32

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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.