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Finding the Fourth Proportional to 6,234.48, 8,606.70 and 3,877.38

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Solution

The fourth proportional to 6,234.48, 8,606.70 and 3,877.38 is: 5,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.48 : 8,606.70 = 3,877.38 : x
  2. Step 2: Convert to fraction form
    6,234.48/8,606.70 = 3,877.38/x
  3. Step 3: Cross multiply
    6,234.48x = 8,606.70 × 3,877.38
  4. Step 4: Simplify right side
    6,234.48x = 33,371,446.45
  5. Step 5: Solve for x
    x = 33,371,446.45/6,234.48
  6. Step 6: Final answer
    x = 5,352.72

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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.