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Finding the Fourth Proportional to 5,164.92, 7,743.24 and 2,392.88

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Solution

The fourth proportional to 5,164.92, 7,743.24 and 2,392.88 is: 3,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.92 : 7,743.24 = 2,392.88 : x
  2. Step 2: Convert to fraction form
    5,164.92/7,743.24 = 2,392.88/x
  3. Step 3: Cross multiply
    5,164.92x = 7,743.24 × 2,392.88
  4. Step 4: Simplify right side
    5,164.92x = 18,528,605.42
  5. Step 5: Solve for x
    x = 18,528,605.42/5,164.92
  6. Step 6: Final answer
    x = 3,587.39

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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.