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Finding the Fourth Proportional to 3,174.39, 4,376.51 and 2,427.16

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Solution

The fourth proportional to 3,174.39, 4,376.51 and 2,427.16 is: 3,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.39 : 4,376.51 = 2,427.16 : x
  2. Step 2: Convert to fraction form
    3,174.39/4,376.51 = 2,427.16/x
  3. Step 3: Cross multiply
    3,174.39x = 4,376.51 × 2,427.16
  4. Step 4: Simplify right side
    3,174.39x = 10,622,490.01
  5. Step 5: Solve for x
    x = 10,622,490.01/3,174.39
  6. Step 6: Final answer
    x = 3,346.31

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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.