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Finding the Fourth Proportional to 4,673.09, 6,449.25 and 2,684.03

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Solution

The fourth proportional to 4,673.09, 6,449.25 and 2,684.03 is: 3,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.09 : 6,449.25 = 2,684.03 : x
  2. Step 2: Convert to fraction form
    4,673.09/6,449.25 = 2,684.03/x
  3. Step 3: Cross multiply
    4,673.09x = 6,449.25 × 2,684.03
  4. Step 4: Simplify right side
    4,673.09x = 17,309,934.81
  5. Step 5: Solve for x
    x = 17,309,934.81/4,673.09
  6. Step 6: Final answer
    x = 3,704.18

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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.