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Finding the Fourth Proportional to 3,392, 5,087.40 and 1,542.68

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Solution

The fourth proportional to 3,392, 5,087.40 and 1,542.68 is: 2,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392 : 5,087.40 = 1,542.68 : x
  2. Step 2: Convert to fraction form
    3,392/5,087.40 = 1,542.68/x
  3. Step 3: Cross multiply
    3,392x = 5,087.40 × 1,542.68
  4. Step 4: Simplify right side
    3,392x = 7,848,230.23
  5. Step 5: Solve for x
    x = 7,848,230.23/3,392
  6. Step 6: Final answer
    x = 2,313.75

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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.