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Finding the Fourth Proportional to 6,191.83, 8,542.64 and 3,537.36

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Solution

The fourth proportional to 6,191.83, 8,542.64 and 3,537.36 is: 4,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.83 : 8,542.64 = 3,537.36 : x
  2. Step 2: Convert to fraction form
    6,191.83/8,542.64 = 3,537.36/x
  3. Step 3: Cross multiply
    6,191.83x = 8,542.64 × 3,537.36
  4. Step 4: Simplify right side
    6,191.83x = 30,218,393.03
  5. Step 5: Solve for x
    x = 30,218,393.03/6,191.83
  6. Step 6: Final answer
    x = 4,880.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.