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Finding the Fourth Proportional to 5,463.88, 8,194.82 and 1,461.31

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Solution

The fourth proportional to 5,463.88, 8,194.82 and 1,461.31 is: 2,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.88 : 8,194.82 = 1,461.31 : x
  2. Step 2: Convert to fraction form
    5,463.88/8,194.82 = 1,461.31/x
  3. Step 3: Cross multiply
    5,463.88x = 8,194.82 × 1,461.31
  4. Step 4: Simplify right side
    5,463.88x = 11,975,185.59
  5. Step 5: Solve for x
    x = 11,975,185.59/5,463.88
  6. Step 6: Final answer
    x = 2,191.70

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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.