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Finding the Fourth Proportional to 3,945.72, 5,918.45 and 1,605.03

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Solution

The fourth proportional to 3,945.72, 5,918.45 and 1,605.03 is: 2,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.72 : 5,918.45 = 1,605.03 : x
  2. Step 2: Convert to fraction form
    3,945.72/5,918.45 = 1,605.03/x
  3. Step 3: Cross multiply
    3,945.72x = 5,918.45 × 1,605.03
  4. Step 4: Simplify right side
    3,945.72x = 9,499,289.80
  5. Step 5: Solve for x
    x = 9,499,289.80/3,945.72
  6. Step 6: Final answer
    x = 2,407.49

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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.