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Finding the Fourth Proportional to 6,241.71, 8,613.30 and 3,409.02

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Solution

The fourth proportional to 6,241.71, 8,613.30 and 3,409.02 is: 4,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.71 : 8,613.30 = 3,409.02 : x
  2. Step 2: Convert to fraction form
    6,241.71/8,613.30 = 3,409.02/x
  3. Step 3: Cross multiply
    6,241.71x = 8,613.30 × 3,409.02
  4. Step 4: Simplify right side
    6,241.71x = 29,362,911.97
  5. Step 5: Solve for x
    x = 29,362,911.97/6,241.71
  6. Step 6: Final answer
    x = 4,704.31

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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.