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Finding the Fourth Proportional to 3,853.71, 5,782.73 and 1,905.93

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Solution

The fourth proportional to 3,853.71, 5,782.73 and 1,905.93 is: 2,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.71 : 5,782.73 = 1,905.93 : x
  2. Step 2: Convert to fraction form
    3,853.71/5,782.73 = 1,905.93/x
  3. Step 3: Cross multiply
    3,853.71x = 5,782.73 × 1,905.93
  4. Step 4: Simplify right side
    3,853.71x = 11,021,469.06
  5. Step 5: Solve for x
    x = 11,021,469.06/3,853.71
  6. Step 6: Final answer
    x = 2,859.96

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1.5x scale

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.