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Finding the Fourth Proportional to 5,785.82, 7,984.48 and 3,133.27

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Solution

The fourth proportional to 5,785.82, 7,984.48 and 3,133.27 is: 4,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.82 : 7,984.48 = 3,133.27 : x
  2. Step 2: Convert to fraction form
    5,785.82/7,984.48 = 3,133.27/x
  3. Step 3: Cross multiply
    5,785.82x = 7,984.48 × 3,133.27
  4. Step 4: Simplify right side
    5,785.82x = 25,017,531.65
  5. Step 5: Solve for x
    x = 25,017,531.65/5,785.82
  6. Step 6: Final answer
    x = 4,323.94

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Why These Related Problems?

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