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Finding the Fourth Proportional to 3,423.50, 5,127.96 and 3,231.80

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Solution

The fourth proportional to 3,423.50, 5,127.96 and 3,231.80 is: 4,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.50 : 5,127.96 = 3,231.80 : x
  2. Step 2: Convert to fraction form
    3,423.50/5,127.96 = 3,231.80/x
  3. Step 3: Cross multiply
    3,423.50x = 5,127.96 × 3,231.80
  4. Step 4: Simplify right side
    3,423.50x = 16,572,541.13
  5. Step 5: Solve for x
    x = 16,572,541.13/3,423.50
  6. Step 6: Final answer
    x = 4,840.82

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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.