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Finding the Fourth Proportional to 3,174.39, 4,759.56 and 2,352.51

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Solution

The fourth proportional to 3,174.39, 4,759.56 and 2,352.51 is: 3,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.39 : 4,759.56 = 2,352.51 : x
  2. Step 2: Convert to fraction form
    3,174.39/4,759.56 = 2,352.51/x
  3. Step 3: Cross multiply
    3,174.39x = 4,759.56 × 2,352.51
  4. Step 4: Simplify right side
    3,174.39x = 11,196,912.50
  5. Step 5: Solve for x
    x = 11,196,912.50/3,174.39
  6. Step 6: Final answer
    x = 3,527.26

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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.