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Finding the Fourth Proportional to 6,241.83, 8,613.75 and 3,409.23

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Solution

The fourth proportional to 6,241.83, 8,613.75 and 3,409.23 is: 4,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.83 : 8,613.75 = 3,409.23 : x
  2. Step 2: Convert to fraction form
    6,241.83/8,613.75 = 3,409.23/x
  3. Step 3: Cross multiply
    6,241.83x = 8,613.75 × 3,409.23
  4. Step 4: Simplify right side
    6,241.83x = 29,366,254.91
  5. Step 5: Solve for x
    x = 29,366,254.91/6,241.83
  6. Step 6: Final answer
    x = 4,704.75

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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.