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Finding the Fourth Proportional to 6,381.15, 8,805.48 and 3,548.31

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Solution

The fourth proportional to 6,381.15, 8,805.48 and 3,548.31 is: 4,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.15 : 8,805.48 = 3,548.31 : x
  2. Step 2: Convert to fraction form
    6,381.15/8,805.48 = 3,548.31/x
  3. Step 3: Cross multiply
    6,381.15x = 8,805.48 × 3,548.31
  4. Step 4: Simplify right side
    6,381.15x = 31,244,572.74
  5. Step 5: Solve for x
    x = 31,244,572.74/6,381.15
  6. Step 6: Final answer
    x = 4,896.39

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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.