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Finding the Fourth Proportional to 6,191.57, 8,544.22 and 3,538.76

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Solution

The fourth proportional to 6,191.57, 8,544.22 and 3,538.76 is: 4,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.57 : 8,544.22 = 3,538.76 : x
  2. Step 2: Convert to fraction form
    6,191.57/8,544.22 = 3,538.76/x
  3. Step 3: Cross multiply
    6,191.57x = 8,544.22 × 3,538.76
  4. Step 4: Simplify right side
    6,191.57x = 30,235,892.40
  5. Step 5: Solve for x
    x = 30,235,892.40/6,191.57
  6. Step 6: Final answer
    x = 4,883.39

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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.