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Finding the Fourth Proportional to 4,673.21, 6,449.42 and 2,684.15

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Solution

The fourth proportional to 4,673.21, 6,449.42 and 2,684.15 is: 3,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.21 : 6,449.42 = 2,684.15 : x
  2. Step 2: Convert to fraction form
    4,673.21/6,449.42 = 2,684.15/x
  3. Step 3: Cross multiply
    4,673.21x = 6,449.42 × 2,684.15
  4. Step 4: Simplify right side
    4,673.21x = 17,311,203.98
  5. Step 5: Solve for x
    x = 17,311,203.98/4,673.21
  6. Step 6: Final answer
    x = 3,704.35

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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.