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Finding the Fourth Proportional to 3,474.53, 5,202.20 and 1,827.53

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Solution

The fourth proportional to 3,474.53, 5,202.20 and 1,827.53 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.53 : 5,202.20 = 1,827.53 : x
  2. Step 2: Convert to fraction form
    3,474.53/5,202.20 = 1,827.53/x
  3. Step 3: Cross multiply
    3,474.53x = 5,202.20 × 1,827.53
  4. Step 4: Simplify right side
    3,474.53x = 9,507,155.12
  5. Step 5: Solve for x
    x = 9,507,155.12/3,474.53
  6. Step 6: Final answer
    x = 2,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.