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Finding the Fourth Proportional to 4,952.61, 7,431.89 and 1,832.09

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Solution

The fourth proportional to 4,952.61, 7,431.89 and 1,832.09 is: 2,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.61 : 7,431.89 = 1,832.09 : x
  2. Step 2: Convert to fraction form
    4,952.61/7,431.89 = 1,832.09/x
  3. Step 3: Cross multiply
    4,952.61x = 7,431.89 × 1,832.09
  4. Step 4: Simplify right side
    4,952.61x = 13,615,845.03
  5. Step 5: Solve for x
    x = 13,615,845.03/4,952.61
  6. Step 6: Final answer
    x = 2,749.23

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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.