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Finding the Fourth Proportional to 6,191.64, 8,543.70 and 3,673.80

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Solution

The fourth proportional to 6,191.64, 8,543.70 and 3,673.80 is: 5,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.64 : 8,543.70 = 3,673.80 : x
  2. Step 2: Convert to fraction form
    6,191.64/8,543.70 = 3,673.80/x
  3. Step 3: Cross multiply
    6,191.64x = 8,543.70 × 3,673.80
  4. Step 4: Simplify right side
    6,191.64x = 31,387,845.06
  5. Step 5: Solve for x
    x = 31,387,845.06/6,191.64
  6. Step 6: Final answer
    x = 5,069.39

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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.