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Finding the Fourth Proportional to 5,584.55, 7,707.13 and 3,067.16

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Solution

The fourth proportional to 5,584.55, 7,707.13 and 3,067.16 is: 4,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.55 : 7,707.13 = 3,067.16 : x
  2. Step 2: Convert to fraction form
    5,584.55/7,707.13 = 3,067.16/x
  3. Step 3: Cross multiply
    5,584.55x = 7,707.13 × 3,067.16
  4. Step 4: Simplify right side
    5,584.55x = 23,638,954.65
  5. Step 5: Solve for x
    x = 23,638,954.65/5,584.55
  6. Step 6: Final answer
    x = 4,232.92

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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.