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Finding the Fourth Proportional to 4,178.52, 5,769.36 and 3,136.32

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Solution

The fourth proportional to 4,178.52, 5,769.36 and 3,136.32 is: 4,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.52 : 5,769.36 = 3,136.32 : x
  2. Step 2: Convert to fraction form
    4,178.52/5,769.36 = 3,136.32/x
  3. Step 3: Cross multiply
    4,178.52x = 5,769.36 × 3,136.32
  4. Step 4: Simplify right side
    4,178.52x = 18,094,559.16
  5. Step 5: Solve for x
    x = 18,094,559.16/4,178.52
  6. Step 6: Final answer
    x = 4,330.38

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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.