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Finding the Fourth Proportional to 5,975.27, 8,959.25 and 2,464.19

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Solution

The fourth proportional to 5,975.27, 8,959.25 and 2,464.19 is: 3,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.27 : 8,959.25 = 2,464.19 : x
  2. Step 2: Convert to fraction form
    5,975.27/8,959.25 = 2,464.19/x
  3. Step 3: Cross multiply
    5,975.27x = 8,959.25 × 2,464.19
  4. Step 4: Simplify right side
    5,975.27x = 22,077,255.62
  5. Step 5: Solve for x
    x = 22,077,255.62/5,975.27
  6. Step 6: Final answer
    x = 3,694.77

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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.