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Finding the Fourth Proportional to 5,987.80, 8,976.16 and 3,059.65

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Solution

The fourth proportional to 5,987.80, 8,976.16 and 3,059.65 is: 4,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.80 : 8,976.16 = 3,059.65 : x
  2. Step 2: Convert to fraction form
    5,987.80/8,976.16 = 3,059.65/x
  3. Step 3: Cross multiply
    5,987.80x = 8,976.16 × 3,059.65
  4. Step 4: Simplify right side
    5,987.80x = 27,463,907.94
  5. Step 5: Solve for x
    x = 27,463,907.94/5,987.80
  6. Step 6: Final answer
    x = 4,586.64

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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.