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Finding the Fourth Proportional to 4,739.25, 7,112.12 and 1,661.25

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Solution

The fourth proportional to 4,739.25, 7,112.12 and 1,661.25 is: 2,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.25 : 7,112.12 = 1,661.25 : x
  2. Step 2: Convert to fraction form
    4,739.25/7,112.12 = 1,661.25/x
  3. Step 3: Cross multiply
    4,739.25x = 7,112.12 × 1,661.25
  4. Step 4: Simplify right side
    4,739.25x = 11,815,001.04
  5. Step 5: Solve for x
    x = 11,815,001.04/4,739.25
  6. Step 6: Final answer
    x = 2,493.01

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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.