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Finding the Fourth Proportional to 6,076.24, 8,384.25 and 3,423.13

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Solution

The fourth proportional to 6,076.24, 8,384.25 and 3,423.13 is: 4,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.24 : 8,384.25 = 3,423.13 : x
  2. Step 2: Convert to fraction form
    6,076.24/8,384.25 = 3,423.13/x
  3. Step 3: Cross multiply
    6,076.24x = 8,384.25 × 3,423.13
  4. Step 4: Simplify right side
    6,076.24x = 28,700,377.70
  5. Step 5: Solve for x
    x = 28,700,377.70/6,076.24
  6. Step 6: Final answer
    x = 4,723.38

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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.