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Finding the Fourth Proportional to 5,785.67, 7,984.22 and 3,133.08

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Solution

The fourth proportional to 5,785.67, 7,984.22 and 3,133.08 is: 4,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.67 : 7,984.22 = 3,133.08 : x
  2. Step 2: Convert to fraction form
    5,785.67/7,984.22 = 3,133.08/x
  3. Step 3: Cross multiply
    5,785.67x = 7,984.22 × 3,133.08
  4. Step 4: Simplify right side
    5,785.67x = 25,015,184.33
  5. Step 5: Solve for x
    x = 25,015,184.33/5,785.67
  6. Step 6: Final answer
    x = 4,323.64

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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.