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Finding the Fourth Proportional to 3,728.36, 5,142.34 and 3,562.92

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Solution

The fourth proportional to 3,728.36, 5,142.34 and 3,562.92 is: 4,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.36 : 5,142.34 = 3,562.92 : x
  2. Step 2: Convert to fraction form
    3,728.36/5,142.34 = 3,562.92/x
  3. Step 3: Cross multiply
    3,728.36x = 5,142.34 × 3,562.92
  4. Step 4: Simplify right side
    3,728.36x = 18,321,746.03
  5. Step 5: Solve for x
    x = 18,321,746.03/3,728.36
  6. Step 6: Final answer
    x = 4,914.16

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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.