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Finding the Fourth Proportional to 3,743, 5,167.02 and 2,346.56

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Solution

The fourth proportional to 3,743, 5,167.02 and 2,346.56 is: 3,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743 : 5,167.02 = 2,346.56 : x
  2. Step 2: Convert to fraction form
    3,743/5,167.02 = 2,346.56/x
  3. Step 3: Cross multiply
    3,743x = 5,167.02 × 2,346.56
  4. Step 4: Simplify right side
    3,743x = 12,124,722.45
  5. Step 5: Solve for x
    x = 12,124,722.45/3,743
  6. Step 6: Final answer
    x = 3,239.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.